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117212832 = 2534114111
BaseRepresentation
bin1101111110010…
…00011010100000
322011120000210000
412333020122200
5220001302312
615344140000
72622202242
oct677103240
9264500700
10117212832
1160188810
1233307600
131b38c409
14117d2092
15a454adc
hex6fc86a0

117212832 has 120 divisors (see below), whose sum is σ = 376149312. Its totient is φ = 35510400.

The previous prime is 117212831. The next prime is 117212857. The reversal of 117212832 is 238212711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117212796 and 117212805.

It is not an unprimeable number, because it can be changed into a prime (117212831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26457 + ... + 30567.

Almost surely, 2117212832 is an apocalyptic number.

117212832 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 117212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188074656).

117212832 is an abundant number, since it is smaller than the sum of its proper divisors (258936480).

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

117212832 is a wasteful number, since it uses less digits than its factorization.

117212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4127 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 117212832 is about 10826.4875190433. The cubic root of 117212832 is about 489.3937135575.

The spelling of 117212832 in words is "one hundred seventeen million, two hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4111 4752 7128 8222 9504 12333 14256 16444 24666 28512 32888 36999 45221 49332 65776 73998 90442 98664 110997 131552 135663 147996 180884 197328 221994 271326 295992 332991 361768 394656 406989 443988 542652 591984 665982 723536 813978 887976 1085304 1183968 1220967 1331964 1447072 1627956 1775952 2170608 2441934 2663928 3255912 3551904 3662901 4341216 4883868 5327856 6511824 7325802 9767736 10655712 13023648 14651604 19535472 29303208 39070944 58606416 117212832