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117373872 = 24371122887
BaseRepresentation
bin1101111111011…
…11101110110000
322011212012200110
412333233232300
5220021430442
615351421320
72623442610
oct677575660
9264765613
10117373872
1160288800
1233384840
131b4177c5
1411834a40
15a48769c
hex6fefbb0

117373872 has 120 divisors (see below), whose sum is σ = 381031168. Its totient is φ = 30476160.

The previous prime is 117373871. The next prime is 117373877. The reversal of 117373872 is 278373711.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117373872.

It is not an unprimeable number, because it can be changed into a prime (117373871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39213 + ... + 42099.

Almost surely, 2117373872 is an apocalyptic number.

117373872 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 117373872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190515584).

117373872 is an abundant number, since it is smaller than the sum of its proper divisors (263657296).

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

117373872 is a wasteful number, since it uses less digits than its factorization.

117373872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2910 counting only the distinct ones).

The product of its digits is 49392, while the sum is 39.

The square root of 117373872 is about 10833.9222814270. The cubic root of 117373872 is about 489.6177387951.

The spelling of 117373872 in words is "one hundred seventeen million, three hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2887 2904 3388 3696 5082 5774 5808 6776 8661 10164 11548 13552 17322 20209 20328 23096 31757 34644 40418 40656 46192 60627 63514 69288 80836 95271 121254 127028 138576 161672 190542 222299 242508 254056 323344 349327 381084 444598 485016 508112 666897 698654 762168 889196 970032 1047981 1333794 1397308 1524336 1778392 2095962 2445289 2667588 2794616 3556784 4191924 4890578 5335176 5589232 7335867 8383848 9781156 10670352 14671734 16767696 19562312 29343468 39124624 58686936 117373872