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997276104 = 2333111922091
BaseRepresentation
bin111011011100010…
…011100111001000
32120111112212122000
4323130103213020
54020300313404
6242543031000
733466464336
oct7334234710
92514485560
10997276104
11471a33330
12239b9b460
1312b7c5406
149663cb56
155c844339
hex3b7139c8

997276104 has 128 divisors (see below), whose sum is σ = 3181248000. Its totient is φ = 286286400.

The previous prime is 997276103. The next prime is 997276177. The reversal of 997276104 is 401672799.

997276104 is a `hidden beast` number, since 9 + 9 + 7 + 27 + 610 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 997276104.

It is not an unprimeable number, because it can be changed into a prime (997276103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34099 + ... + 56189.

It is an arithmetic number, because the mean of its divisors is an integer number (24853500).

Almost surely, 2997276104 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 997276104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590624000).

997276104 is an abundant number, since it is smaller than the sum of its proper divisors (2183971896).

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

997276104 is a wasteful number, since it uses less digits than its factorization.

997276104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22136 (or 22126 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 997276104 is about 31579.6786557432. The cubic root of 997276104 is about 999.0912090158.

The spelling of 997276104 in words is "nine hundred ninety-seven million, two hundred seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22091 22572 44182 45144 66273 88364 132546 176728 198819 243001 265092 397638 419729 486002 530184 596457 729003 795276 839458 972004 1192914 1259187 1458006 1590552 1678916 1944008 2187009 2385828 2518374 2916012 3357832 3777561 4374018 4617019 4771656 5036748 5832024 6561027 7555122 8748036 9234038 10073496 11332683 13122054 13851057 15110244 17496072 18468076 22665366 26244108 27702114 30220488 36936152 41553171 45330732 52488216 55404228 83106342 90661464 110808456 124659513 166212684 249319026 332425368 498638052 997276104