Search a number
-
+
116559768 = 233132337439
BaseRepresentation
bin1101111001010…
…00111110011000
322010022211221110
412330220332120
5214314403033
615322140320
72613512253
oct674507630
9263284843
10116559768
115a882096
12330516a0
131b1c10a0
14116a209a
15a376363
hex6f28f98

116559768 has 128 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 33302016.

The previous prime is 116559749. The next prime is 116559809. The reversal of 116559768 is 867955611.

It is a congruent number.

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, 265293 + ... + 265731.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 2116559768 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 116559768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

116559768 is an abundant number, since it is smaller than the sum of its proper divisors (220515432).

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

116559768 is a wasteful number, since it uses less digits than its factorization.

116559768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 116559768 is about 10796.2849165813. The cubic root of 116559768 is about 488.4831169191.

The spelling of 116559768 in words is "one hundred sixteen million, five hundred fifty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 37 39 46 52 69 74 78 92 104 111 138 148 156 184 222 276 296 299 312 439 444 481 552 598 851 878 888 897 962 1196 1317 1443 1702 1756 1794 1924 2392 2553 2634 2886 3404 3512 3588 3848 5106 5268 5707 5772 6808 7176 10097 10212 10536 11063 11414 11544 16243 17121 20194 20424 22126 22828 30291 32486 33189 34242 40388 44252 45656 48729 60582 64972 66378 68484 80776 88504 97458 121164 129944 131261 132756 136968 194916 211159 242328 262522 265512 373589 389832 393783 422318 525044 633477 747178 787566 844636 1050088 1120767 1266954 1494356 1575132 1689272 2241534 2533908 2988712 3150264 4483068 4856657 5067816 8966136 9713314 14569971 19426628 29139942 38853256 58279884 116559768