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116838008 = 237173137107
BaseRepresentation
bin1101111011011…
…00111001111000
322010211222121122
412331230321320
5214402304013
615332124412
72616051410
oct675547170
9263758548
10116838008
115aa52141
1233166708
131b28a921
1411735640
15a3cda08
hex6f6ce78

116838008 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 43960320.

The previous prime is 116837993. The next prime is 116838031. The reversal of 116838008 is 800838611.

It is a happy number.

It is a super-2 number, since 2×1168380082 = 27302240226816128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091891 + ... + 1091997.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2116838008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116838008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

116838008 is an abundant number, since it is smaller than the sum of its proper divisors (166830472).

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

116838008 is a wasteful number, since it uses less digits than its factorization.

116838008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 116838008 is about 10809.1631498465. The cubic root of 116838008 is about 488.8714943153.

It can be divided in two parts, 11683 and 8008, that added together give a palindrome (19691).

The spelling of 116838008 in words is "one hundred sixteen million, eight hundred thirty-eight thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 37 56 62 68 74 107 119 124 136 148 214 217 238 248 259 296 428 434 476 518 527 629 749 856 868 952 1036 1054 1147 1258 1498 1736 1819 2072 2108 2294 2516 2996 3317 3638 3689 3959 4216 4403 4588 5032 5992 6634 7276 7378 7918 8029 8806 9176 12733 13268 14552 14756 15836 16058 17612 19499 23219 25466 26536 27713 29512 31672 32116 35224 38998 46438 50932 55426 56389 64232 67303 77996 92876 101864 110852 112778 122729 134606 136493 155992 185752 221704 225556 245458 269212 272986 394723 451112 471121 490916 538424 545972 789446 859103 942242 981832 1091944 1578892 1718206 1884484 2086393 3157784 3436412 3768968 4172786 6872824 8345572 14604751 16691144 29209502 58419004 116838008