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12240880 = 245532887
BaseRepresentation
bin101110101100…
…011111110000
3212000220022221
4232230133300
511113202010
61114210424
7206021461
oct56543760
925026287
1012240880
116a00833
124123a14
1326c7832
1418a8d68
15111bdda
hexbac7f0

12240880 has 40 divisors (see below), whose sum is σ = 29007072. Its totient is φ = 4802304.

The previous prime is 12240869. The next prime is 12240887. The reversal of 12240880 is 8804221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240887) 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, 2797 + ... + 5683.

Almost surely, 212240880 is an apocalyptic number.

12240880 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 12240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503536).

12240880 is an abundant number, since it is smaller than the sum of its proper divisors (16766192).

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

12240880 is a wasteful number, since it uses less digits than its factorization.

12240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12240880 is about 3498.6969002759. The cubic root of 12240880 is about 230.4645933541.

The spelling of 12240880 in words is "twelve million, two hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2887 4240 5774 11548 14435 23096 28870 46192 57740 115480 153011 230960 306022 612044 765055 1224088 1530110 2448176 3060220 6120440 12240880