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117869472 = 2533719489
BaseRepresentation
bin1110000011010…
…00101110100000
322012210101112000
413001220232200
5220133310342
615410204000
72630605530
oct701505640
9265711460
10117869472
1160597096
1233583600
131b55c266
14119234c0
15a53444c
hex7068ba0

117869472 has 96 divisors (see below), whose sum is σ = 392918400. Its totient is φ = 33675264.

The previous prime is 117869461. The next prime is 117869473. The reversal of 117869472 is 274968711.

It is a happy number.

117869472 is a `hidden beast` number, since 1 + 178 + 6 + 9 + 472 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (117869473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697 + ... + 15792.

It is an arithmetic number, because the mean of its divisors is an integer number (4092900).

Almost surely, 2117869472 is an apocalyptic number.

117869472 is a gapful number since it is divisible by the number (12) 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 117869472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196459200).

117869472 is an abundant number, since it is smaller than the sum of its proper divisors (275048928).

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

117869472 is a wasteful number, since it uses less digits than its factorization.

117869472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19501 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 117869472 is about 10856.7707906173. The cubic root of 117869472 is about 490.3058925768.

It can be divided in two parts, 117869 and 472, that added together give a triangular number (118341 = T486).

The spelling of 117869472 in words is "one hundred seventeen million, eight hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 19489 38978 58467 77956 116934 136423 155912 175401 233868 272846 311824 350802 409269 467736 526203 545692 623648 701604 818538 935472 1052406 1091384 1227807 1403208 1637076 1870944 2104812 2182768 2455614 2806416 3274152 3683421 4209624 4365536 4911228 5612832 6548304 7366842 8419248 9822456 13096608 14733684 16838496 19644912 29467368 39289824 58934736 117869472