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116121504 = 2538913591
BaseRepresentation
bin1101110101111…
…01111110100000
322002111120202110
412322331332200
5214211342004
615304515320
72610005442
oct672757640
9262446673
10116121504
115a602894
1232a7bb40
131b099765
14115ca492
15a2db589
hex6ebdfa0

116121504 has 48 divisors (see below), whose sum is σ = 308266560. Its totient is φ = 38269440.

The previous prime is 116121497. The next prime is 116121527. The reversal of 116121504 is 405121611.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (6422220).

Almost surely, 2116121504 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 116121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154133280).

116121504 is an abundant number, since it is smaller than the sum of its proper divisors (192145056).

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

116121504 is a wasteful number, since it uses less digits than its factorization.

116121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13693 (or 13685 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 116121504 is about 10775.9688195540. The cubic root of 116121504 is about 487.8701168271.

The spelling of 116121504 in words is "one hundred sixteen million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 13591 27182 40773 54364 81546 108728 163092 217456 326184 434912 652368 1209599 1304736 2419198 3628797 4838396 7257594 9676792 14515188 19353584 29030376 38707168 58060752 116121504