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116064624 = 24313238087
BaseRepresentation
bin1101110101100…
…00000101110000
322002101200201210
412322300011300
5214203031444
615303400120
72606350554
oct672600560
9262350653
10116064624
115a574085
1232a53040
131b0798c0
14115b3864
15a2c97b9
hex6eb0170

116064624 has 80 divisors (see below), whose sum is σ = 336978432. Its totient is φ = 34155264.

The previous prime is 116064607. The next prime is 116064631. The reversal of 116064624 is 426460611.

It is a super-2 number, since 2×1160646242 = 26941993888522752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116064591 and 116064600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10309 + ... + 18395.

Almost surely, 2116064624 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 116064624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168489216).

116064624 is an abundant number, since it is smaller than the sum of its proper divisors (220913808).

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

116064624 is a wasteful number, since it uses less digits than its factorization.

116064624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8134 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 116064624 is about 10773.3292904283. The cubic root of 116064624 is about 487.7904457255.

The spelling of 116064624 in words is "one hundred sixteen million, sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 8087 14352 16174 24261 32348 48522 64696 97044 105131 129392 186001 194088 210262 315393 372002 388176 420524 558003 630786 744004 841048 1116006 1261572 1488008 1682096 2232012 2418013 2523144 2976016 4464024 4836026 5046288 7254039 8928048 9672052 14508078 19344104 29016156 38688208 58032312 116064624