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117787152 = 24371721213
BaseRepresentation
bin1110000010101…
…00101000010000
322012122012121010
413001110220100
5220123142102
615404330520
72630113530
oct701245020
9265565533
10117787152
116054025a
1233543a40
131b530952
14119014c0
15a519d6c
hex7054a10

117787152 has 120 divisors (see below), whose sum is σ = 369716416. Its totient is φ = 31647744.

The previous prime is 117787141. The next prime is 117787193. The reversal of 117787152 is 251787711.

It is a super-2 number, since 2×1177871522 = 27747626352542208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117787152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96498 + ... + 97710.

Almost surely, 2117787152 is an apocalyptic number.

117787152 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 117787152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184858208).

117787152 is an abundant number, since it is smaller than the sum of its proper divisors (251929264).

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

117787152 is a wasteful number, since it uses less digits than its factorization.

117787152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1242 counting only the distinct ones).

The product of its digits is 27440, while the sum is 39.

The square root of 117787152 is about 10852.9789458932. The cubic root of 117787152 is about 490.1917228366.

The spelling of 117787152 in words is "one hundred seventeen million, seven hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 408 476 578 714 816 867 952 1156 1213 1428 1734 1904 2023 2312 2426 2856 3468 3639 4046 4624 4852 5712 6069 6936 7278 8092 8491 9704 12138 13872 14556 16184 16982 19408 20621 24276 25473 29112 32368 33964 41242 48552 50946 58224 61863 67928 82484 97104 101892 123726 135856 144347 164968 203784 247452 288694 329936 350557 407568 433041 494904 577388 701114 866082 989808 1051671 1154776 1402228 1732164 2103342 2309552 2453899 2804456 3464328 4206684 4907798 5608912 6928656 7361697 8413368 9815596 14723394 16826736 19631192 29446788 39262384 58893576 117787152