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117932976 = 2433759661
BaseRepresentation
bin1110000011110…
…00001110110000
322012220121122000
413001320032300
5220142323401
615411414000
72631261630
oct701701660
9265817560
10117932976
116062a877
12335b4300
131b582135
141193c6c0
15a548186
hex70783b0

117932976 has 160 divisors (see below), whose sum is σ = 394022400. Its totient is φ = 33073920.

The previous prime is 117932951. The next prime is 117932987. The reversal of 117932976 is 679239711.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178086 + ... + 178746.

It is an arithmetic number, because the mean of its divisors is an integer number (2462640).

Almost surely, 2117932976 is an apocalyptic number.

117932976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117932976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197011200).

117932976 is an abundant number, since it is smaller than the sum of its proper divisors (276089424).

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

117932976 is a wasteful number, since it uses less digits than its factorization.

117932976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 117932976 is about 10859.6950233420. The cubic root of 117932976 is about 490.3939300610.

The spelling of 117932976 in words is "one hundred seventeen million, nine hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 661 708 756 826 944 1008 1062 1239 1322 1416 1512 1593 1652 1983 2124 2478 2644 2832 3024 3186 3304 3717 3966 4248 4627 4956 5288 5949 6372 6608 7434 7932 8496 9254 9912 10576 11151 11898 12744 13881 14868 15864 17847 18508 19824 22302 23796 25488 27762 29736 31728 35694 37016 38999 41643 44604 47592 55524 59472 71388 74032 77998 83286 89208 95184 111048 116997 124929 142776 155996 166572 178416 222096 233994 249858 272993 285552 311992 333144 350991 467988 499716 545986 623984 666288 701982 818979 935976 999432 1052973 1091972 1403964 1637958 1871952 1998864 2105946 2183944 2456937 2807928 3275916 4211892 4367888 4913874 5615856 6551832 7370811 8423784 9827748 13103664 14741622 16847568 19655496 29483244 39310992 58966488 117932976