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12575120 = 245157189
BaseRepresentation
bin101111111110…
…000110010000
3212122212211012
4233332012100
511204400440
61125310052
7211613105
oct57760620
925585735
1012575120
117109968
124265328
1327b39cc
141954aac
151185e65
hexbfe190

12575120 has 20 divisors (see below), whose sum is σ = 29237340. Its totient is φ = 5030016.

The previous prime is 12575117. The next prime is 12575137. The reversal of 12575120 is 2157521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 7118224 = 2336^2 + 2668^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 78515 + ... + 78674.

It is an arithmetic number, because the mean of its divisors is an integer number (1461867).

Almost surely, 212575120 is an apocalyptic number.

12575120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12575120 is an abundant number, since it is smaller than the sum of its proper divisors (16662220).

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

12575120 is a wasteful number, since it uses less digits than its factorization.

12575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157202 (or 157196 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 12575120 is about 3546.1415651381. The cubic root of 12575120 is about 232.5434150243.

The spelling of 12575120 in words is "twelve million, five hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157189 314378 628756 785945 1257512 1571890 2515024 3143780 6287560 12575120