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12415080 = 2335307337
BaseRepresentation
bin101111010111…
…000001101000
3212100202021210
4233113001220
511134240310
61122033120
7210345366
oct57270150
925322253
1012415080
11700a6a7
1241a87a0
132758c02
141912636
151153820
hexbd7068

12415080 has 64 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3290112.

The previous prime is 12415043. The next prime is 12415093. The reversal of 12415080 is 8051421.

12415080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124150802 = 308268422812800, which contains 22 as substring.

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, 36672 + ... + 37008.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 212415080 is an apocalyptic number.

12415080 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 12415080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12415080 is an abundant number, since it is smaller than the sum of its proper divisors (25062360).

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

12415080 is a wasteful number, since it uses less digits than its factorization.

12415080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12415080 is about 3523.5039378437. The cubic root of 12415080 is about 231.5526954075.

The spelling of 12415080 in words is "twelve million, four hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 337 614 674 921 1011 1228 1348 1535 1685 1842 2022 2456 2696 3070 3370 3684 4044 4605 5055 6140 6740 7368 8088 9210 10110 12280 13480 18420 20220 36840 40440 103459 206918 310377 413836 517295 620754 827672 1034590 1241508 1551885 2069180 2483016 3103770 4138360 6207540 12415080