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116825904 = 243213173671
BaseRepresentation
bin1101111011010…
…01111100110000
322010211101000100
412331221330300
5214401412104
615331552400
72616001206
oct675517460
9263741010
10116825904
115aa44038
123315b700
131b285270
1411731076
15a3ca139
hex6f69f30

116825904 has 120 divisors (see below), whose sum is σ = 372913632. Its totient is φ = 33822720.

The previous prime is 116825899. The next prime is 116825923. The reversal of 116825904 is 409528611.

116825904 is a `hidden beast` number, since 1 + 1 + 68 + 2 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29989 + ... + 33659.

Almost surely, 2116825904 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 116825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

116825904 is an abundant number, since it is smaller than the sum of its proper divisors (256087728).

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

116825904 is a wasteful number, since it uses less digits than its factorization.

116825904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116825904 is about 10808.6032400121. The cubic root of 116825904 is about 488.8546119525.

It can be divided in two parts, 1168 and 25904, that added together give a palindrome (27072).

The spelling of 116825904 in words is "one hundred sixteen million, eight hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3671 3978 5304 7342 7956 10608 11013 14684 15912 22026 29368 31824 33039 44052 47723 58736 62407 66078 88104 95446 124814 132156 143169 176208 187221 190892 249628 264312 286338 374442 381784 429507 499256 528624 561663 572676 748884 763568 811291 859014 998512 1123326 1145352 1497768 1622582 1718028 2246652 2290704 2433873 2995536 3245164 3436056 4493304 4867746 6490328 6872112 7301619 8986608 9735492 12980656 14603238 19470984 29206476 38941968 58412952 116825904