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7840980 = 2232573127
BaseRepresentation
bin11101111010010011010100
3112202100210200
4131322103110
54001402410
6440020500
7123435000
oct35722324
915670720
107840980
114476054
122761730
131816c44
141081700
15a4d3c0
hex77a4d4

7840980 has 144 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 1778112.

The previous prime is 7840969. The next prime is 7840981. The reversal of 7840980 is 890487.

It is a super-2 number, since 2×78409802 = 122961934720800, which contains 22 as substring.

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 (7840981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61677 + ... + 61803.

Almost surely, 27840980 is an apocalyptic number.

7840980 is a gapful number since it is divisible by the number (70) 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 7840980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

7840980 is an abundant number, since it is smaller than the sum of its proper divisors (20114220).

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

7840980 is a wasteful number, since it uses less digits than its factorization.

7840980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7840980 is about 2800.1749945316. The cubic root of 7840980 is about 198.6659547342.

The spelling of 7840980 in words is "seven million, eight hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 127 140 147 180 196 210 245 252 254 294 315 343 381 420 441 490 508 588 630 635 686 735 762 882 889 980 1029 1143 1260 1270 1372 1470 1524 1715 1764 1778 1905 2058 2205 2286 2540 2667 2940 3087 3430 3556 3810 4116 4410 4445 4572 5145 5334 5715 6174 6223 6860 7620 8001 8820 8890 10290 10668 11430 12348 12446 13335 15435 16002 17780 18669 20580 22860 24892 26670 30870 31115 32004 37338 40005 43561 53340 56007 61740 62230 74676 80010 87122 93345 112014 124460 130683 160020 174244 186690 217805 224028 261366 280035 373380 392049 435610 522732 560070 653415 784098 871220 1120140 1306830 1568196 1960245 2613660 3920490 7840980