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116500680 = 2334541877
BaseRepresentation
bin1101111000110…
…10100011001000
322010012211220000
412330122203020
5214311010210
615321003000
72613145062
oct674324310
9263184800
10116500680
115a84175a
1233023460
131b1a021a
1411688732
15a363ac0
hex6f1a8c8

116500680 has 160 divisors (see below), whose sum is σ = 401579640. Its totient is φ = 30274560.

The previous prime is 116500663. The next prime is 116500687. The reversal of 116500680 is 86005611.

116500680 is a `hidden beast` number, since 1 + 1 + 650 + 0 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83942244 + 32558436 = 9162^2 + 5706^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116500687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132402 + ... + 133278.

Almost surely, 2116500680 is an apocalyptic number.

116500680 is a gapful number since it is divisible by the number (10) 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 116500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200789820).

116500680 is an abundant number, since it is smaller than the sum of its proper divisors (285078960).

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

116500680 is a wasteful number, since it uses less digits than its factorization.

116500680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116500680 is about 10793.5480728072. The cubic root of 116500680 is about 488.4005602201.

The spelling of 116500680 in words is "one hundred sixteen million, five hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 877 984 1080 1107 1230 1476 1620 1640 1754 1845 2214 2460 2631 2952 3240 3321 3508 3690 4385 4428 4920 5262 5535 6642 7016 7380 7893 8770 8856 10524 11070 13155 13284 14760 15786 16605 17540 21048 22140 23679 26310 26568 31572 33210 35080 35957 39465 44280 47358 52620 63144 66420 71037 71914 78930 94716 105240 107871 118395 132840 142074 143828 157860 179785 189432 215742 236790 284148 287656 315720 323613 355185 359570 431484 473580 539355 568296 647226 710370 719140 862968 947160 970839 1078710 1294452 1420740 1438280 1618065 1941678 2157420 2588904 2841480 2912517 3236130 3883356 4314840 4854195 5825034 6472260 7766712 9708390 11650068 12944520 14562585 19416780 23300136 29125170 38833560 58250340 116500680