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12629900 = 2252532383
BaseRepresentation
bin110000001011…
…011110001100
3212202122222002
4300023132030
511213124100
61130411432
7212231603
oct60133614
925678862
1012629900
117147038
124290b78
13280291a
14196aa3a
1511972d5
hexc0b78c

12629900 has 36 divisors (see below), whose sum is σ = 27935712. Its totient is φ = 4954560.

The previous prime is 12629899. The next prime is 12629909. The reversal of 12629900 is 992621.

It is not an unprimeable number, because it can be changed into a prime (12629909) by changing a digit.

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, 4109 + ... + 6491.

It is an arithmetic number, because the mean of its divisors is an integer number (775992).

Almost surely, 212629900 is an apocalyptic number.

12629900 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 12629900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967856).

12629900 is an abundant number, since it is smaller than the sum of its proper divisors (15305812).

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

12629900 is a wasteful number, since it uses less digits than its factorization.

12629900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 12629900 is about 3553.8570595903. The cubic root of 12629900 is about 232.8805960437.

The spelling of 12629900 in words is "twelve million, six hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2383 2650 4766 5300 9532 11915 23830 47660 59575 119150 126299 238300 252598 505196 631495 1262990 2525980 3157475 6314950 12629900