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1980606420 = 22325131749789
BaseRepresentation
bin111011000001101…
…1010011111010100
312010000212020020100
41312003122133110
513024013401140
6524311134100
7100036606512
oct16603323724
95100766210
101980606420
11927000a11
12473374330
13257446c80
1414b08b4b2
15b8d31530
hex760da7d4

1980606420 has 144 divisors (see below), whose sum is σ = 6850705680. Its totient is φ = 458846208.

The previous prime is 1980606391. The next prime is 1980606421. The reversal of 1980606420 is 246060891.

1980606420 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 0 + 642 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 148937616 + 1831668804 = 12204^2 + 42798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980606421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14886 + ... + 64674.

It is an arithmetic number, because the mean of its divisors is an integer number (47574345).

Almost surely, 21980606420 is an apocalyptic number.

1980606420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425352840).

1980606420 is an abundant number, since it is smaller than the sum of its proper divisors (4870099260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1980606420 is a wasteful number, since it uses less digits than its factorization.

1980606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49834 (or 49829 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1980606420 is about 44504.0045389176. The cubic root of 1980606420 is about 1255.8354188517.

It can be divided in two parts, 198060 and 6420, that added together give a triangular number (204480 = T639).

The spelling of 1980606420 in words is "one billion, nine hundred eighty million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 49789 99578 149367 199156 248945 298734 448101 497890 597468 647257 746835 846413 896202 995780 1294514 1493670 1692826 1792404 1941771 2240505 2539239 2589028 2987340 3236285 3385652 3883542 4232065 4481010 5078478 5825313 6472570 7617717 7767084 8464130 8962020 9708855 10156956 11003369 11650626 12696195 12945140 15235434 16928260 19417710 22006738 23301252 25392390 29126565 30470868 33010107 38088585 38835420 44013476 50784780 55016845 58253130 66020214 76177170 99030321 110033690 116506260 132040428 152354340 165050535 198060642 220067380 330101070 396121284 495151605 660202140 990303210 1980606420