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117616104 = 23334911109
BaseRepresentation
bin1110000001010…
…10110111101000
322012022111222000
413000222313220
5220102203404
615400531000
72625502044
oct700526750
9265274860
10117616104
11604337a1
1233480a60
131b4a0b38
1411899024
15a4d4339
hex702ade8

117616104 has 64 divisors (see below), whose sum is σ = 327672000. Its totient is φ = 39090240.

The previous prime is 117616091. The next prime is 117616111. The reversal of 117616104 is 401616711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105502 + ... + 106610.

It is an arithmetic number, because the mean of its divisors is an integer number (5119875).

Almost surely, 2117616104 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 117616104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163836000).

117616104 is an abundant number, since it is smaller than the sum of its proper divisors (210055896).

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

117616104 is a wasteful number, since it uses less digits than its factorization.

117616104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117616104 is about 10845.0958501988. The cubic root of 117616104 is about 489.9543258830.

The spelling of 117616104 in words is "one hundred seventeen million, six hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 491 982 1109 1473 1964 2218 2946 3327 3928 4419 4436 5892 6654 8838 8872 9981 11784 13257 13308 17676 19962 26514 26616 29943 35352 39924 53028 59886 79848 106056 119772 239544 544519 1089038 1633557 2178076 3267114 4356152 4900671 6534228 9801342 13068456 14702013 19602684 29404026 39205368 58808052 117616104