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12252920 = 2351737487
BaseRepresentation
bin101110101111…
…011011111000
3212001111211212
4232233123320
511114043140
61114342252
7206101541
oct56573370
925044755
1012252920
116a09889
12412a988
132700164
1418ad4c8
151120765
hexbaf6f8

12252920 has 64 divisors (see below), whose sum is σ = 30041280. Its totient is φ = 4478976.

The previous prime is 12252913. The next prime is 12252923. The reversal of 12252920 is 2925221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252923) 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, 24917 + ... + 25403.

It is an arithmetic number, because the mean of its divisors is an integer number (469395).

Almost surely, 212252920 is an apocalyptic number.

12252920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020640).

12252920 is an abundant number, since it is smaller than the sum of its proper divisors (17788360).

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

12252920 is a wasteful number, since it uses less digits than its factorization.

12252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 12252920 is about 3500.4171180018. The cubic root of 12252920 is about 230.5401294389.

The spelling of 12252920 in words is "twelve million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 487 629 680 740 974 1258 1480 1948 2435 2516 3145 3896 4870 5032 6290 8279 9740 12580 16558 18019 19480 25160 33116 36038 41395 66232 72076 82790 90095 144152 165580 180190 306323 331160 360380 612646 720760 1225292 1531615 2450584 3063230 6126460 12252920