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12251140 = 22511233239
BaseRepresentation
bin101110101111…
…000000000100
3212001102101221
4232233000010
511114014030
61114330124
7206063416
oct56570004
925042357
1012251140
116a08510
124129944
1326cc3c5
1418ac9b6
15111ee7a
hexbaf004

12251140 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4417280.

The previous prime is 12251131. The next prime is 12251147. The reversal of 12251140 is 4115221.

It is not an unprimeable number, because it can be changed into a prime (12251147) 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, 51141 + ... + 51379.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 212251140 is an apocalyptic number.

12251140 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 12251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

12251140 is an abundant number, since it is smaller than the sum of its proper divisors (16053500).

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

12251140 is a wasteful number, since it uses less digits than its factorization.

12251140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12251140 is about 3500.1628533541. The cubic root of 12251140 is about 230.5289652619.

Adding to 12251140 its reverse (4115221), we get a palindrome (16366361).

It can be divided in two parts, 12 and 251140, that added together give a palindrome (251152).

The spelling of 12251140 in words is "twelve million, two hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 239 466 478 932 956 1165 1195 2330 2390 2563 2629 4660 4780 5126 5258 10252 10516 12815 13145 25630 26290 51260 52580 55687 111374 222748 278435 556870 612557 1113740 1225114 2450228 3062785 6125570 12251140