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13257252 = 2232616037
BaseRepresentation
bin110010100100…
…101000100100
3220221112112100
4302210220210
511343213002
61152052100
7220453611
oct62445044
926845470
1013257252
117535408
124534030
132992338
141a91508
15126d11c
hexca4a24

13257252 has 36 divisors (see below), whose sum is σ = 34066396. Its totient is φ = 4345920.

The previous prime is 13257221. The next prime is 13257253. The reversal of 13257252 is 25275231.

It can be written as a sum of positive squares in 2 ways, for example, as 1313316 + 11943936 = 1146^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13257253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823 + ... + 5214.

Almost surely, 213257252 is an apocalyptic number.

13257252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13257252 is an abundant number, since it is smaller than the sum of its proper divisors (20809144).

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

13257252 is a wasteful number, since it uses less digits than its factorization.

13257252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6103 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 13257252 is about 3641.0509471854. The cubic root of 13257252 is about 236.6743377354.

The spelling of 13257252 in words is "thirteen million, two hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 6037 12074 18111 24148 36222 54333 72444 108666 217332 368257 736514 1104771 1473028 2209542 3314313 4419084 6628626 13257252