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116859336 = 2331131109131
BaseRepresentation
bin1101111011100…
…10000111001000
322010220001212120
412331302013020
5214403444321
615332411240
72616200526
oct675620710
9263801776
10116859336
115aa67170
1233176b20
131b297549
141173d316
15a3d4ec6
hex6f721c8

116859336 has 128 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 33696000.

The previous prime is 116859317. The next prime is 116859383. The reversal of 116859336 is 633958611.

It is a happy number.

It is a super-2 number, since 2×1168593362 = 27312208820721792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891991 + ... + 892121.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2116859336 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 116859336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

116859336 is an abundant number, since it is smaller than the sum of its proper divisors (217681464).

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

116859336 is a wasteful number, since it uses less digits than its factorization.

116859336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 116859336 is about 10810.1496751895. The cubic root of 116859336 is about 488.9012392503.

The spelling of 116859336 in words is "one hundred sixteen million, eight hundred fifty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 109 124 131 132 186 218 248 262 264 327 341 372 393 436 524 654 682 744 786 872 1023 1048 1199 1308 1364 1441 1572 2046 2398 2616 2728 2882 3144 3379 3597 4061 4092 4323 4796 5764 6758 7194 8122 8184 8646 9592 10137 11528 12183 13516 14279 14388 16244 17292 20274 24366 27032 28558 28776 32488 34584 37169 40548 42837 44671 48732 57116 74338 81096 85674 89342 97464 111507 114232 134013 148676 157069 171348 178684 223014 268026 297352 314138 342696 357368 442649 446028 471207 536052 628276 885298 892056 942414 1072104 1256552 1327947 1770596 1884828 2655894 3541192 3769656 4869139 5311788 9738278 10623576 14607417 19476556 29214834 38953112 58429668 116859336