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117235296 = 2533472887
BaseRepresentation
bin1101111110011…
…01111001100000
322011121011121000
412333031321200
5220003012141
615344432000
72622324603
oct677157140
9264534530
10117235296
11601a3682
1233318600
131b3996c9
14117da33a
15a45b5b6
hex6fcde60

117235296 has 96 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 38233728.

The previous prime is 117235253. The next prime is 117235331. The reversal of 117235296 is 692532711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1172352962 = 27488229256415232, which contains 22 as substring.

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 117235296.

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, 39165 + ... + 42051.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2117235296 is an apocalyptic number.

117235296 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 117235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

117235296 is an abundant number, since it is smaller than the sum of its proper divisors (232097184).

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

117235296 is a wasteful number, since it uses less digits than its factorization.

117235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2939 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 117235296 is about 10827.5249249309. The cubic root of 117235296 is about 489.4249758859.

The spelling of 117235296 in words is "one hundred seventeen million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 2887 3384 4512 5076 5774 6768 8661 10152 11548 13536 17322 20304 23096 25983 34644 40608 46192 51966 69288 77949 92384 103932 135689 138576 155898 207864 271378 277152 311796 407067 415728 542756 623592 814134 831456 1085512 1221201 1247184 1628268 2171024 2442402 2494368 3256536 3663603 4342048 4884804 6513072 7327206 9769608 13026144 14654412 19539216 29308824 39078432 58617648 117235296