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12501680 = 24531712
BaseRepresentation
bin101111101100…
…001010110000
3212112011002012
4233230022300
511200023210
61123542052
7211156022
oct57541260
925464065
1012501680
117069774
12422a928
132789459
141936012
15116e305
hexbec2b0

12501680 has 60 divisors (see below), whose sum is σ = 30432576. Its totient is φ = 4771200.

The previous prime is 12501659. The next prime is 12501683. The reversal of 12501680 is 8610521.

12501680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12501683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176045 + ... + 176115.

Almost surely, 212501680 is an apocalyptic number.

12501680 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 12501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216288).

12501680 is an abundant number, since it is smaller than the sum of its proper divisors (17930896).

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

12501680 is an equidigital number, since it uses as much as digits as its factorization.

12501680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12501680 is about 3535.7714858288. The cubic root of 12501680 is about 232.0898383739.

The spelling of 12501680 in words is "twelve million, five hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 2201 2480 2840 4402 5041 5680 8804 10082 11005 17608 20164 22010 25205 35216 40328 44020 50410 80656 88040 100820 156271 176080 201640 312542 403280 625084 781355 1250168 1562710 2500336 3125420 6250840 12501680