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117426456 = 23337372099
BaseRepresentation
bin1101111111111…
…00100100011000
322011221212211000
412333330210120
5220030121311
615352505000
72624052120
oct677744430
9264855730
10117426456
1160314264
12333ab160
131b435714
1411849c80
15a498056
hex6ffc918

117426456 has 128 divisors (see below), whose sum is σ = 383040000. Its totient is φ = 32628096.

The previous prime is 117426437. The next prime is 117426457. The reversal of 117426456 is 654624711.

117426456 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 2 + 645 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117426456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117426457) 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, 54895 + ... + 56993.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2117426456 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 117426456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520000).

117426456 is an abundant number, since it is smaller than the sum of its proper divisors (265613544).

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

117426456 is a wasteful number, since it uses less digits than its factorization.

117426456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2148 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 117426456 is about 10836.3488315945. The cubic root of 117426456 is about 489.6908448306.

The spelling of 117426456 in words is "one hundred seventeen million, four hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2099 2331 2664 3108 3996 4198 4662 6216 6297 6993 7992 8396 9324 12594 13986 14693 16792 18648 18891 25188 27972 29386 37782 44079 50376 55944 56673 58772 75564 77663 88158 113346 117544 132237 151128 155326 176316 226692 232989 264474 310652 352632 396711 453384 465978 528948 543641 621304 698967 793422 931956 1057896 1087282 1397934 1586844 1630923 1863912 2096901 2174564 2795868 3173688 3261846 4193802 4349128 4892769 5591736 6523692 8387604 9785538 13047384 14678307 16775208 19571076 29356614 39142152 58713228 117426456