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117526332 = 223711231373
BaseRepresentation
bin1110000000101…
…00111100111100
322012010221211010
413000110330330
5220041320312
615354555220
72624646240
oct700247474
9265127733
10117526332
1160382300
1233438b10
131b46c011
1411874420
15a4b793c
hex7014f3c

117526332 has 144 divisors (see below), whose sum is σ = 356550656. Its totient is φ = 29462400.

The previous prime is 117526313. The next prime is 117526333. The reversal of 117526332 is 233625711.

It is a self number, because there is not a number n which added to its sum of digits gives 117526332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117526333) 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 47 ways as a sum of consecutive naturals, for example, 314898 + ... + 315270.

Almost surely, 2117526332 is an apocalyptic number.

117526332 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 117526332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178275328).

117526332 is an abundant number, since it is smaller than the sum of its proper divisors (239024324).

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

117526332 is a wasteful number, since it uses less digits than its factorization.

117526332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 117526332 is about 10840.9562308866. The cubic root of 117526332 is about 489.8296395135.

The spelling of 117526332 in words is "one hundred seventeen million, five hundred twenty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 373 434 462 484 651 682 726 746 847 868 924 1023 1119 1302 1364 1452 1492 1694 2046 2238 2387 2541 2604 2611 3388 3751 4092 4103 4476 4774 5082 5222 7161 7502 7833 8206 9548 10164 10444 11253 11563 12309 14322 15004 15666 16412 22506 23126 24618 26257 28644 28721 31332 34689 45012 45133 46252 49236 52514 57442 69378 78771 80941 86163 90266 105028 114884 127193 135399 138756 157542 161882 172326 180532 242823 254386 270798 315084 315931 323764 344652 381579 485646 508772 541596 631862 763158 890351 947793 971292 1263724 1399123 1526316 1780702 1895586 2671053 2798246 3561404 3791172 4197369 5342106 5596492 8394738 9793861 10684212 16789476 19587722 29381583 39175444 58763166 117526332