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3120925968 = 2432792511093
BaseRepresentation
bin1011101000000101…
…1000110100010000
322001111120110120200
42322001120310100
522342424112333
61233404135200
7140224301346
oct27201306420
98044513520
103120925968
111361754966
12731237500
133a9773a74
142186c3996
15133ecdc13
hexba058d10

3120925968 has 120 divisors (see below), whose sum is σ = 8888181120. Its totient is φ = 1022112000.

The previous prime is 3120925963. The next prime is 3120925979. The reversal of 3120925968 is 8695290213.

3120925968 is a `hidden beast` number, since 31 + 20 + 9 + 2 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3120925963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854830 + ... + 2855922.

It is an arithmetic number, because the mean of its divisors is an integer number (74068176).

Almost surely, 23120925968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120925968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444090560).

3120925968 is an abundant number, since it is smaller than the sum of its proper divisors (5767255152).

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

3120925968 is a wasteful number, since it uses less digits than its factorization.

3120925968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3120925968 is about 55865.2483033952. The cubic root of 3120925968 is about 1461.3732572482.

The spelling of 3120925968 in words is "three billion, one hundred twenty million, nine hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 251 316 474 502 632 711 753 948 1004 1093 1264 1422 1506 1896 2008 2186 2259 2844 3012 3279 3792 4016 4372 4518 5688 6024 6558 8744 9036 9837 11376 12048 13116 17488 18072 19674 19829 26232 36144 39348 39658 52464 59487 78696 79316 86347 118974 157392 158632 172694 178461 237948 259041 274343 317264 345388 356922 475896 518082 548686 690776 713844 777123 823029 951792 1036164 1097372 1381552 1427688 1554246 1646058 2072328 2194744 2469087 2855376 3108492 3292116 4144656 4389488 4938174 6216984 6584232 9876348 12433968 13168464 19752696 21673097 39505392 43346194 65019291 86692388 130038582 173384776 195057873 260077164 346769552 390115746 520154328 780231492 1040308656 1560462984 3120925968