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12725100 = 2234521571
BaseRepresentation
bin110000100010…
…101101101100
3212221111120000
4300202231230
511224200400
61132424300
7213106263
oct60425554
925844500
1012725100
117201613
124318090
13283705b
1419935da
1511b5600
hexc22b6c

12725100 has 90 divisors (see below), whose sum is σ = 41276004. Its totient is φ = 3391200.

The previous prime is 12725093. The next prime is 12725101. The reversal of 12725100 is 152721.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12725101) 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 29 ways as a sum of consecutive naturals, for example, 7315 + ... + 8885.

Almost surely, 212725100 is an apocalyptic number.

12725100 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 12725100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638002).

12725100 is an abundant number, since it is smaller than the sum of its proper divisors (28550904).

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

12725100 is a wasteful number, since it uses less digits than its factorization.

12725100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12725100 is about 3567.2258128692. The cubic root of 12725100 is about 233.4642575899.

Adding to 12725100 its reverse (152721), we get a palindrome (12877821).

The spelling of 12725100 in words is "twelve million, seven hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1571 1620 2025 2700 3142 4050 4713 6284 7855 8100 9426 14139 15710 18852 23565 28278 31420 39275 42417 47130 56556 70695 78550 84834 94260 117825 127251 141390 157100 169668 212085 235650 254502 282780 353475 424170 471300 509004 636255 706950 848340 1060425 1272510 1413900 2120850 2545020 3181275 4241700 6362550 12725100