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12252590 = 2571131549
BaseRepresentation
bin101110101111…
…010110101110
3212001111101122
4232233112232
511114040330
61114340542
7206100560
oct56572656
925044348
1012252590
116a09609
12412a752
1326ccc6c
1418ad330
1511205e5
hexbaf5ae

12252590 has 32 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4161024.

The previous prime is 12252551. The next prime is 12252599. The reversal of 12252590 is 9525221.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7136 + ... + 8684.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 212252590 is an apocalyptic number.

12252590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12252590 is an abundant number, since it is smaller than the sum of its proper divisors (13192210).

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

12252590 is a wasteful number, since it uses less digits than its factorization.

12252590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 12252590 is about 3500.3699804449. The cubic root of 12252590 is about 230.5380597574.

The spelling of 12252590 in words is "twelve million, two hundred fifty-two thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 113 226 565 791 1130 1549 1582 3098 3955 7745 7910 10843 15490 21686 54215 108430 175037 350074 875185 1225259 1750370 2450518 6126295 12252590