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116526560 = 2554316937
BaseRepresentation
bin1101111001000…
…00110111100000
322010021011101112
412330200313200
5214312322220
615321322452
72613313403
oct674406740
9263234345
10116526560
115a85a147
1233036428
131b1abc37
1411693d3a
15a36b5c5
hex6f20de0

116526560 has 48 divisors (see below), whose sum is σ = 281712816. Its totient is φ = 45523968.

The previous prime is 116526547. The next prime is 116526577. The reversal of 116526560 is 65625611.

It is a super-3 number, since 3×1165265603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 1589 + ... + 15348.

It is an arithmetic number, because the mean of its divisors is an integer number (5869017).

Almost surely, 2116526560 is an apocalyptic number.

116526560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116526560 is an abundant number, since it is smaller than the sum of its proper divisors (165186256).

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

116526560 is a wasteful number, since it uses less digits than its factorization.

116526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16995 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 116526560 is about 10794.7468705848. The cubic root of 116526560 is about 488.4367227290.

The spelling of 116526560 in words is "one hundred sixteen million, five hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 16937 33874 67748 84685 135496 169370 270992 338740 541984 677480 728291 1354960 1456582 2709920 2913164 3641455 5826328 7282910 11652656 14565820 23305312 29131640 58263280 116526560