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116576616 = 233131731709
BaseRepresentation
bin1101111001011…
…01000101101000
322010100201001110
412330231011220
5214320422431
615322350320
72613612342
oct674550550
9263321043
10116576616
115a893812
123305b3a0
131b1c8960
14116a8292
15a37b346
hex6f2d168

116576616 has 128 divisors (see below), whose sum is σ = 343526400. Its totient is φ = 32624640.

The previous prime is 116576611. The next prime is 116576639. The reversal of 116576616 is 616675611.

It is a super-2 number, since 2×1165766162 = 27180214796022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (116576611) 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, 164070 + ... + 164778.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 2116576616 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 116576616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171763200).

116576616 is an abundant number, since it is smaller than the sum of its proper divisors (226949784).

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

116576616 is a wasteful number, since it uses less digits than its factorization.

116576616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 116576616 is about 10797.0651567915. The cubic root of 116576616 is about 488.5066515320.

The spelling of 116576616 in words is "one hundred sixteen million, five hundred seventy-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 31 34 39 51 52 62 68 78 93 102 104 124 136 156 186 204 221 248 312 372 403 408 442 527 663 709 744 806 884 1054 1209 1326 1418 1581 1612 1768 2108 2127 2418 2652 2836 3162 3224 4216 4254 4836 5304 5672 6324 6851 8508 9217 9672 12053 12648 13702 17016 18434 20553 21979 24106 27404 27651 36159 36868 41106 43958 48212 54808 55302 65937 72318 73736 82212 87916 96424 110604 131874 144636 156689 164424 175832 221208 263748 285727 289272 313378 373643 470067 527496 571454 626756 747286 857181 940134 1120929 1142908 1253512 1494572 1714362 1880268 2241858 2285816 2989144 3428724 3760536 4483716 4857359 6857448 8967432 9714718 14572077 19429436 29144154 38858872 58288308 116576616