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117597312 = 273374861
BaseRepresentation
bin1110000001001…
…10010010000000
322012021120012000
413000212102000
5220101103222
615400304000
72625363210
oct700462200
9265246160
10117597312
1160420668
1233472000
131b495411
1411892240
15a4cd9ac
hex7026480

117597312 has 128 divisors (see below), whose sum is σ = 396739200. Its totient is φ = 33592320.

The previous prime is 117597299. The next prime is 117597317. The reversal of 117597312 is 213795711.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117597317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21762 + ... + 26622.

It is an arithmetic number, because the mean of its divisors is an integer number (3099525).

Almost surely, 2117597312 is an apocalyptic number.

117597312 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 117597312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198369600).

117597312 is an abundant number, since it is smaller than the sum of its proper divisors (279141888).

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

117597312 is an equidigital number, since it uses as much as digits as its factorization.

117597312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4873 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 117597312 is about 10844.2294332055. The cubic root of 117597312 is about 489.9282304992.

The spelling of 117597312 in words is "one hundred seventeen million, five hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 4861 6048 8064 9722 12096 14583 19444 24192 29166 34027 38888 43749 58332 68054 77776 87498 102081 116664 131247 136108 155552 174996 204162 233328 262494 272216 306243 311104 349992 408324 466656 524988 544432 612486 622208 699984 816648 918729 933312 1049976 1088864 1224972 1399968 1633296 1837458 1866624 2099952 2177728 2449944 2799936 3266592 3674916 4199904 4355456 4899888 5599872 6533184 7349832 8399808 9799776 13066368 14699664 16799616 19599552 29399328 39199104 58798656 117597312