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12625000 = 2356101
BaseRepresentation
bin110000001010…
…010001101000
3212202102020121
4300022101220
511213000000
61130333024
7212211403
oct60122150
925672217
1012625000
117143393
12428a174
13280061b
141968d3a
151195b1a
hexc0a468

12625000 has 56 divisors (see below), whose sum is σ = 29882430. Its totient is φ = 5000000.

The previous prime is 12624991. The next prime is 12625027. The reversal of 12625000 is 52621.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 3175524 + 9449476 = 1782^2 + 3074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124950 + ... + 125050.

Almost surely, 212625000 is an apocalyptic number.

12625000 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 12625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941215).

12625000 is an abundant number, since it is smaller than the sum of its proper divisors (17257430).

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

12625000 is an frugal number, since it uses more digits than its factorization.

12625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12625000 is about 3553.1676008880. The cubic root of 12625000 is about 232.8504753902.

Adding to 12625000 its reverse (52621), we get a palindrome (12677621).

The spelling of 12625000 in words is "twelve million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 3125 4040 5000 5050 6250 10100 12500 12625 15625 20200 25000 25250 31250 50500 62500 63125 101000 125000 126250 252500 315625 505000 631250 1262500 1578125 2525000 3156250 6312500 12625000