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12575268 = 2232349313
BaseRepresentation
bin101111111110…
…001000100100
3212122220000200
4233332020210
511204402033
61125310500
7211613406
oct57761044
925586020
1012575268
117109a92
124265430
1327b3ab4
141954b76
151186013
hexbfe224

12575268 has 18 divisors (see below), whose sum is σ = 31787574. Its totient is φ = 4191744.

The previous prime is 12575263. The next prime is 12575279. The reversal of 12575268 is 86257521.

It is a happy number.

12575268 is a `hidden beast` number, since 125 + 7 + 526 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11985444 + 589824 = 3462^2 + 768^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 349313 = 12575268 / (1 + 2 + 5 + 7 + 5 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (12575263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 174621 + ... + 174692.

Almost surely, 212575268 is an apocalyptic number.

12575268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12575268 is an abundant number, since it is smaller than the sum of its proper divisors (19212306).

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

12575268 is a wasteful number, since it uses less digits than its factorization.

12575268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349323 (or 349318 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12575268 is about 3546.1624328279. The cubic root of 12575268 is about 232.5443273096.

The spelling of 12575268 in words is "twelve million, five hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 349313 698626 1047939 1397252 2095878 3143817 4191756 6287634 12575268