Search a number
-
+
118852032 = 26313172801
BaseRepresentation
bin1110001010110…
…00100111000000
322021122022100010
413011120213000
5220411231112
615443224520
72642140245
oct705304700
9267568303
10118852032
11610a8322
1233978140
131b814560
1411adb5cc
15a67a63c
hex71589c0

118852032 has 112 divisors (see below), whose sum is σ = 358700832. Its totient is φ = 34406400.

The previous prime is 118852031. The next prime is 118852033. The reversal of 118852032 is 230258811.

It is an interprime number because it is at equal distance from previous prime (118852031) and next prime (118852033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118852031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41032 + ... + 43832.

It is an arithmetic number, because the mean of its divisors is an integer number (3202686).

Almost surely, 2118852032 is an apocalyptic number.

118852032 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 118852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179350416).

118852032 is an abundant number, since it is smaller than the sum of its proper divisors (239848800).

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

118852032 is a wasteful number, since it uses less digits than its factorization.

118852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 118852032 is about 10901.9279028986. The cubic root of 118852032 is about 491.6645211180.

The spelling of 118852032 in words is "one hundred eighteen million, eight hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 2801 3264 3536 5304 5602 7072 8403 10608 11204 14144 16806 21216 22408 33612 36413 42432 44816 47617 67224 72826 89632 95234 109239 134448 142851 145652 179264 190468 218478 268896 285702 291304 380936 436956 537792 571404 582608 619021 761872 873912 1142808 1165216 1238042 1523744 1747824 1857063 2285616 2330432 2476084 3047488 3495648 3714126 4571232 4952168 6991296 7428252 9142464 9904336 14856504 19808672 29713008 39617344 59426016 118852032