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116842608 = 24331791511
BaseRepresentation
bin1101111011011…
…10000001110000
322010212012221000
412331232001300
5214402430413
615332202000
72616101001
oct675560160
9263765830
10116842608
115aa55643
1233169300
131b28ca4c
14117371a8
15a3d0073
hex6f6e070

116842608 has 80 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 38704320.

The previous prime is 116842603. The next prime is 116842631. The reversal of 116842608 is 806248611.

116842608 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 42 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116842601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76573 + ... + 78083.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2116842608 is an apocalyptic number.

116842608 is a gapful number since it is divisible by the number (18) 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 116842608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

116842608 is an abundant number, since it is smaller than the sum of its proper divisors (220635792).

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

116842608 is a wasteful number, since it uses less digits than its factorization.

116842608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 116842608 is about 10809.3759301821. The cubic root of 116842608 is about 488.8779099769.

It can be divided in two parts, 116 and 842608, that added together give a square (842724 = 9182).

The spelling of 116842608 in words is "one hundred sixteen million, eight hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1511 1611 2148 2864 3022 3222 4296 4533 4833 6044 6444 8592 9066 9666 12088 12888 13599 18132 19332 24176 25776 27198 36264 38664 40797 54396 72528 77328 81594 108792 163188 217584 270469 326376 540938 652752 811407 1081876 1622814 2163752 2434221 3245628 4327504 4868442 6491256 7302663 9736884 12982512 14605326 19473768 29210652 38947536 58421304 116842608