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12641900 = 2252167757
BaseRepresentation
bin110000001110…
…011001101100
3212210021102112
4300032121230
511214020100
61130543152
7212311565
oct60163154
925707375
1012641900
117155057
124297ab8
13280821b
14197116c
15119ab35
hexc0e66c

12641900 has 36 divisors (see below), whose sum is σ = 27633648. Its totient is φ = 5019840.

The previous prime is 12641869. The next prime is 12641917. The reversal of 12641900 is 914621.

It is a happy number.

It is a super-2 number, since 2×126419002 = 319635271220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16322 + ... + 17078.

Almost surely, 212641900 is an apocalyptic number.

12641900 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 12641900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816824).

12641900 is an abundant number, since it is smaller than the sum of its proper divisors (14991748).

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

12641900 is a wasteful number, since it uses less digits than its factorization.

12641900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12641900 is about 3555.5449652620. The cubic root of 12641900 is about 232.9543280224.

The spelling of 12641900 in words is "twelve million, six hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 757 835 1514 1670 3028 3340 3785 4175 7570 8350 15140 16700 18925 37850 75700 126419 252838 505676 632095 1264190 2528380 3160475 6320950 12641900