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117532944 = 2434233943
BaseRepresentation
bin1110000000101…
…10100100010000
322012011021220000
413000112210100
5220042023234
615355050000
72625004434
oct700264420
9265137800
10117532944
1160387271
1233440900
131b472029
14118769c4
15a4b9899
hex7016910

117532944 has 100 divisors (see below), whose sum is σ = 355054656. Its totient is φ = 37464768.

The previous prime is 117532939. The next prime is 117532981. The reversal of 117532944 is 449235711.

117532944 is a `hidden beast` number, since 117 + 532 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117532899 and 117532908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27837 + ... + 31779.

Almost surely, 2117532944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117532944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177527328).

117532944 is an abundant number, since it is smaller than the sum of its proper divisors (237521712).

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

117532944 is a wasteful number, since it uses less digits than its factorization.

117532944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3971 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 117532944 is about 10841.2611812464. The cubic root of 117532944 is about 489.8388252361.

The spelling of 117532944 in words is "one hundred seventeen million, five hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 3943 4968 7452 7886 9936 11829 14904 15772 23658 29808 31544 35487 47316 63088 70974 90689 94632 106461 141948 181378 189264 212922 272067 283896 319383 362756 425844 544134 567792 638766 725512 816201 851688 1088268 1277532 1451024 1632402 1703376 2176536 2448603 2555064 3264804 4353072 4897206 5110128 6529608 7345809 9794412 13059216 14691618 19588824 29383236 39177648 58766472 117532944