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116526160 = 24517471823
BaseRepresentation
bin1101111001000…
…00110001010000
322010021010211201
412330200301100
5214312314120
615321320544
72613312262
oct674406120
9263233751
10116526160
115a859913
1233036154
131b1ab9ba
1411693b32
15a36b40a
hex6f20c50

116526160 has 80 divisors (see below), whose sum is σ = 293124096. Its totient is φ = 42911744.

The previous prime is 116526127. The next prime is 116526167. The reversal of 116526160 is 61625611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116526167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63009 + ... + 64831.

Almost surely, 2116526160 is an apocalyptic number.

116526160 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 116526160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562048).

116526160 is an abundant number, since it is smaller than the sum of its proper divisors (176597936).

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

116526160 is a wasteful number, since it uses less digits than its factorization.

116526160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 116526160 is about 10794.7283430386. The cubic root of 116526160 is about 488.4361638438.

The spelling of 116526160 in words is "one hundred sixteen million, five hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1823 1880 3196 3646 3760 3995 6392 7292 7990 9115 12784 14584 15980 18230 29168 30991 31960 36460 61982 63920 72920 85681 123964 145840 154955 171362 247928 309910 342724 428405 495856 619820 685448 856810 1239640 1370896 1456577 1713620 2479280 2913154 3427240 5826308 6854480 7282885 11652616 14565770 23305232 29131540 58263080 116526160