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3152809980 = 223457272677
BaseRepresentation
bin1011101111101100…
…0000111111111100
322010201120100020000
42323323000333330
522424104404410
61240503354300
7141062304555
oct27373007774
98121510200
103152809980
111378751891
1273ba52990
133b3258448
1421ca2332c
15136bcadc0
hexbbec0ffc

3152809980 has 120 divisors (see below), whose sum is σ = 9907785888. Its totient is φ = 839279232.

The previous prime is 3152809901. The next prime is 3152809991. The reversal of 3152809980 is 899082513.

It is a happy number.

3152809980 is a `hidden beast` number, since 31 + 528 + 0 + 9 + 98 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1176402 + ... + 1179078.

Almost surely, 23152809980 is an apocalyptic number.

3152809980 is a gapful number since it is divisible by the number (30) 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 3152809980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953892944).

3152809980 is an abundant number, since it is smaller than the sum of its proper divisors (6754975908).

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

3152809980 is a wasteful number, since it uses less digits than its factorization.

3152809980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 3152809980 is about 56149.8885128012. Note that the first 3 decimals coincide. The cubic root of 3152809980 is about 1466.3329673554.

The spelling of 3152809980 in words is "three billion, one hundred fifty-two million, eight hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 727 810 1454 1620 2181 2677 2908 3635 4362 5354 6543 7270 8031 8724 10708 10905 13086 13385 14540 16062 19629 21810 24093 26172 26770 32124 32715 39258 40155 43620 48186 53540 58887 65430 72279 78516 80310 96372 98145 117774 120465 130860 144558 160620 196290 216837 235548 240930 289116 294435 361395 392580 433674 481860 588870 722790 867348 1084185 1177740 1445580 1946179 2168370 3892358 4336740 5838537 7784716 9730895 11677074 17515611 19461790 23354148 29192685 35031222 38923580 52546833 58385370 70062444 87578055 105093666 116770740 157640499 175156110 210187332 262734165 315280998 350312220 525468330 630561996 788202495 1050936660 1576404990 3152809980