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115625120 = 2551355589
BaseRepresentation
bin1101110010001…
…00110010100000
322001120100211212
412321010302200
5214100000440
615250125252
72602540322
oct671046240
9261510755
10115625120
115a2a3956
1232880828
131ac54840
14114db612
15a23e465
hex6e44ca0

115625120 has 48 divisors (see below), whose sum is σ = 294182280. Its totient is φ = 42691584.

The previous prime is 115625101. The next prime is 115625141. The reversal of 115625120 is 21526511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33686416 + 81938704 = 5804^2 + 9052^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25715 + ... + 29874.

Almost surely, 2115625120 is an apocalyptic number.

115625120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115625120 is an abundant number, since it is smaller than the sum of its proper divisors (178557160).

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

115625120 is a wasteful number, since it uses less digits than its factorization.

115625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55617 (or 55609 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 115625120 is about 10752.9121636885. The cubic root of 115625120 is about 487.1739586294.

The spelling of 115625120 in words is "one hundred fifteen million, six hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 55589 111178 222356 277945 444712 555890 722657 889424 1111780 1445314 1778848 2223560 2890628 3613285 4447120 5781256 7226570 8894240 11562512 14453140 23125024 28906280 57812560 115625120