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12238960 = 245592593
BaseRepresentation
bin101110101100…
…000001110000
3212000210200211
4232230001300
511113121320
61114153504
7206013046
oct56540160
925023624
1012238960
1169aa348
124122894
1326c69b6
1418a8396
15111b55a
hexbac070

12238960 has 40 divisors (see below), whose sum is σ = 28949040. Its totient is φ = 4810752.

The previous prime is 12238949. The next prime is 12238991. The reversal of 12238960 is 6983221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3424 + ... + 6016.

It is an arithmetic number, because the mean of its divisors is an integer number (723726).

Almost surely, 212238960 is an apocalyptic number.

12238960 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 12238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474520).

12238960 is an abundant number, since it is smaller than the sum of its proper divisors (16710080).

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

12238960 is a wasteful number, since it uses less digits than its factorization.

12238960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 12238960 is about 3498.4225016427. The cubic root of 12238960 is about 230.4525431541.

The spelling of 12238960 in words is "twelve million, two hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2593 4720 5186 10372 12965 20744 25930 41488 51860 103720 152987 207440 305974 611948 764935 1223896 1529870 2447792 3059740 6119480 12238960