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117576960 = 283567457
BaseRepresentation
bin1110000001000…
…01010100000000
322012020112021020
413000201110000
5220044430320
615400025440
72625246654
oct700412400
9265215236
10117576960
1160407346
1233462280
131b489087
1411888a64
15a4c7940
hex7021500

117576960 has 144 divisors (see below), whose sum is σ = 381950016. Its totient is φ = 30818304.

The previous prime is 117576929. The next prime is 117577001. The reversal of 117576960 is 69675711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257052 + ... + 257508.

Almost surely, 2117576960 is an apocalyptic number.

117576960 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 117576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190975008).

117576960 is an abundant number, since it is smaller than the sum of its proper divisors (264373056).

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

117576960 is an equidigital number, since it uses as much as digits as its factorization.

117576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 117576960 is about 10843.2910133409. The cubic root of 117576960 is about 489.8999656961.

The spelling of 117576960 in words is "one hundred seventeen million, five hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 457 480 536 640 670 768 804 914 960 1005 1072 1280 1340 1371 1608 1828 1920 2010 2144 2285 2680 2742 3216 3656 3840 4020 4288 4570 5360 5484 6432 6855 7312 8040 8576 9140 10720 10968 12864 13710 14624 16080 17152 18280 21440 21936 25728 27420 29248 30619 32160 36560 42880 43872 51456 54840 58496 61238 64320 73120 85760 87744 91857 109680 116992 122476 128640 146240 153095 175488 183714 219360 244952 257280 292480 306190 350976 367428 438720 459285 489904 584960 612380 734856 877440 918570 979808 1224760 1469712 1754880 1837140 1959616 2449520 2939424 3674280 3919232 4899040 5878848 7348560 7838464 9798080 11757696 14697120 19596160 23515392 29394240 39192320 58788480 117576960