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12252840 = 2335102107
BaseRepresentation
bin101110101111…
…011010101000
3212001111201220
4232233122220
511114042330
61114342040
7206101365
oct56573250
925044656
1012252840
116a09816
12412a920
132700102
1418ad46c
151120710
hexbaf6a8

12252840 has 32 divisors (see below), whose sum is σ = 36758880. Its totient is φ = 3267392.

The previous prime is 12252827. The next prime is 12252847. The reversal of 12252840 is 4825221.

It is a super-3 number, since 3×122528403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12252840.

It is not an unprimeable number, because it can be changed into a prime (12252847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50934 + ... + 51173.

It is an arithmetic number, because the mean of its divisors is an integer number (1148715).

Almost surely, 212252840 is an apocalyptic number.

12252840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252840 is an abundant number, since it is smaller than the sum of its proper divisors (24506040).

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

12252840 is a wasteful number, since it uses less digits than its factorization.

12252840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102121 (or 102117 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12252840 is about 3500.4056907736. The cubic root of 12252840 is about 230.5396277013.

The spelling of 12252840 in words is "twelve million, two hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 102107 204214 306321 408428 510535 612642 816856 1021070 1225284 1531605 2042140 2450568 3063210 4084280 6126420 12252840