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116904216 = 2331113231481
BaseRepresentation
bin1101111011111…
…01000100011000
322010222100102210
412331331010120
5214411413331
615333355120
72616445422
oct675750430
9263870383
10116904216
115aa97960
1233198aa0
131b2b1ac0
1411751812
15a3e3446
hex6f7d118

116904216 has 128 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 31257600.

The previous prime is 116904199. The next prime is 116904233. The reversal of 116904216 is 612409611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116904199) and next prime (116904233).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78196 + ... + 79676.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2116904216 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 116904216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

116904216 is an abundant number, since it is smaller than the sum of its proper divisors (241621224).

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

116904216 is a wasteful number, since it uses less digits than its factorization.

116904216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116904216 is about 10812.2253028690. The cubic root of 116904216 is about 488.9638189865.

The spelling of 116904216 in words is "one hundred sixteen million, nine hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1481 1518 1716 1794 2024 2392 2962 3036 3289 3432 3588 4443 5924 6072 6578 7176 8886 9867 11848 13156 16291 17772 19253 19734 26312 32582 34063 35544 38506 39468 48873 57759 65164 68126 77012 78936 97746 102189 115518 130328 136252 154024 195492 204378 211783 231036 272504 374693 390984 408756 423566 442819 462072 635349 749386 817512 847132 885638 1124079 1270698 1328457 1498772 1694264 1771276 2248158 2541396 2656914 2997544 3542552 4496316 4871009 5082792 5313828 8992632 9742018 10627656 14613027 19484036 29226054 38968072 58452108 116904216