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12414980 = 2251937883
BaseRepresentation
bin101111010111…
…000000000100
3212100202011002
4233113000010
511134234410
61122032432
7210345164
oct57270004
925322132
1012414980
11700a616
1241a8718
132758b56
1419125a4
1511537a5
hexbd7004

12414980 has 48 divisors (see below), whose sum is σ = 28217280. Its totient is φ = 4572288.

The previous prime is 12414967. The next prime is 12415027. The reversal of 12414980 is 8941421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13619 + ... + 14501.

It is an arithmetic number, because the mean of its divisors is an integer number (587860).

Almost surely, 212414980 is an apocalyptic number.

12414980 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 12414980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108640).

12414980 is an abundant number, since it is smaller than the sum of its proper divisors (15802300).

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

12414980 is a wasteful number, since it uses less digits than its factorization.

12414980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 12414980 is about 3523.4897473953. The cubic root of 12414980 is about 231.5520737084.

The spelling of 12414980 in words is "twelve million, four hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 883 1406 1766 2812 3515 3532 4415 7030 8830 14060 16777 17660 32671 33554 65342 67108 83885 130684 163355 167770 326710 335540 620749 653420 1241498 2482996 3103745 6207490 12414980