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116593280 = 275182177
BaseRepresentation
bin1101111001100…
…01001010000000
322010101112220122
412330301022000
5214321441110
615322555412
72614012046
oct674611200
9263345818
10116593280
115a8a5291
1233068b68
131b20340b
14116b0396
15a381255
hex6f31280

116593280 has 32 divisors (see below), whose sum is σ = 278732340. Its totient is φ = 46637056.

The previous prime is 116593277. The next prime is 116593283. The reversal of 116593280 is 82395611.

It is an interprime number because it is at equal distance from previous prime (116593277) and next prime (116593283).

It can be written as a sum of positive squares in 2 ways, for example, as 111682624 + 4910656 = 10568^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 116593280.

It is not an unprimeable number, because it can be changed into a prime (116593283) 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 3 ways as a sum of consecutive naturals, for example, 90449 + ... + 91728.

Almost surely, 2116593280 is an apocalyptic number.

116593280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116593280 is an abundant number, since it is smaller than the sum of its proper divisors (162139060).

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

116593280 is an equidigital number, since it uses as much as digits as its factorization.

116593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182196 (or 182184 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 116593280 is about 10797.8368204006. The cubic root of 116593280 is about 488.5299268888.

The spelling of 116593280 in words is "one hundred sixteen million, five hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 182177 364354 728708 910885 1457416 1821770 2914832 3643540 5829664 7287080 11659328 14574160 23318656 29148320 58296640 116593280