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116017520 = 24517233709
BaseRepresentation
bin1101110101001…
…00100101110000
322002022022010012
412322210211300
5214200030040
615302354052
72606063333
oct672444560
9262268105
10116017520
115a541753
1232a2b928
131b061328
14115a061a
15a2ba865
hex6ea4970

116017520 has 80 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 41766912.

The previous prime is 116017481. The next prime is 116017549. The reversal of 116017520 is 25710611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29426 + ... + 33134.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324).

Almost surely, 2116017520 is an apocalyptic number.

116017520 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 116017520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

116017520 is an abundant number, since it is smaller than the sum of its proper divisors (182088400).

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

116017520 is a wasteful number, since it uses less digits than its factorization.

116017520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 116017520 is about 10771.1429291417. The cubic root of 116017520 is about 487.7244480385.

The spelling of 116017520 in words is "one hundred sixteen million, seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3709 3910 6256 7418 7820 14836 15640 18545 29672 31280 37090 59344 63053 74180 85307 126106 148360 170614 252212 296720 315265 341228 426535 504424 630530 682456 853070 1008848 1261060 1364912 1450219 1706140 2522120 2900438 3412280 5044240 5800876 6824560 7251095 11601752 14502190 23203504 29004380 58008760 116017520