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117121520 = 24523531201
BaseRepresentation
bin1101111101100…
…10000111110000
322011101101112002
412332302013300
5214440342040
615342153132
72621342105
oct676620760
9264341462
10117121520
116012614a
12332827a8
131b359999
14117aaaac
15a437a15
hex6fb21f0

117121520 has 80 divisors (see below), whose sum is σ = 289749312. Its totient is φ = 43929600.

The previous prime is 117121513. The next prime is 117121547. The reversal of 117121520 is 25121711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1171215202 = 27434900894220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 117121492 and 117121501.

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, 96920 + ... + 98120.

Almost surely, 2117121520 is an apocalyptic number.

117121520 is a gapful number since it is divisible by the number (10) 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 117121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144874656).

117121520 is an abundant number, since it is smaller than the sum of its proper divisors (172627792).

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

117121520 is a wasteful number, since it uses less digits than its factorization.

117121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 117121520 is about 10822.2696325678. The cubic root of 117121520 is about 489.2665968494.

The spelling of 117121520 in words is "one hundred seventeen million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 80 92 106 115 184 212 230 265 368 424 460 530 848 920 1060 1201 1219 1840 2120 2402 2438 4240 4804 4876 6005 6095 9608 9752 12010 12190 19216 19504 24020 24380 27623 48040 48760 55246 63653 96080 97520 110492 127306 138115 220984 254612 276230 318265 441968 509224 552460 636530 1018448 1104920 1273060 1464019 2209840 2546120 2928038 5092240 5856076 7320095 11712152 14640190 23424304 29280380 58560760 117121520