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1980472680 = 23345611257
BaseRepresentation
bin111011000001011…
…1001110101101000
312010000121102210000
41312002321311220
513024000111210
6524304223000
7100035511554
oct16602716550
95100542700
101980472680
11926a1a48a
1247330aa60
132573cb134
1414b054864
15b8d06ac0
hex760b9d68

1980472680 has 80 divisors (see below), whose sum is σ = 6656599620. Its totient is φ = 528125184.

The previous prime is 1980472667. The next prime is 1980472721. The reversal of 1980472680 is 862740891.

It can be written as a sum of positive squares in 2 ways, for example, as 1833723684 + 146748996 = 42822^2 + 12114^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 302389 + ... + 308868.

Almost surely, 21980472680 is an apocalyptic number.

1980472680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1980472680 is an abundant number, since it is smaller than the sum of its proper divisors (4676126940).

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

1980472680 is a wasteful number, since it uses less digits than its factorization.

1980472680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611280 (or 611267 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1980472680 is about 44502.5019521375. The cubic root of 1980472680 is about 1255.8071515480.

The spelling of 1980472680 in words is "one billion, nine hundred eighty million, four hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 611257 1222514 1833771 2445028 3056285 3667542 4890056 5501313 6112570 7335084 9168855 11002626 12225140 14670168 16503939 18337710 22005252 24450280 27506565 33007878 36675420 44010504 49511817 55013130 66015756 73350840 82519695 99023634 110026260 132031512 165039390 198047268 220052520 247559085 330078780 396094536 495118170 660157560 990236340 1980472680