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12107900 = 225273353
BaseRepresentation
bin101110001100…
…000001111100
3211210010220202
4232030001330
511044423100
61111303032
7204626000
oct56140174
924703822
1012107900
11691a932
12407aa78
13267c14c
141872700
1510e27d5
hexb8c07c

12107900 has 72 divisors (see below), whose sum is σ = 30727200. Its totient is φ = 4139520.

The previous prime is 12107899. The next prime is 12107911. The reversal of 12107900 is 970121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34124 + ... + 34476.

Almost surely, 212107900 is an apocalyptic number.

12107900 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 12107900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15363600).

12107900 is an abundant number, since it is smaller than the sum of its proper divisors (18619300).

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

12107900 is a wasteful number, since it uses less digits than its factorization.

12107900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 12107900 is about 3479.6407860582. The cubic root of 12107900 is about 229.6269946448.

The spelling of 12107900 in words is "twelve million, one hundred seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 353 490 686 700 706 980 1225 1372 1412 1715 1765 2450 2471 3430 3530 4900 4942 6860 7060 8575 8825 9884 12355 17150 17297 17650 24710 34300 34594 35300 49420 61775 69188 86485 121079 123550 172970 242158 247100 345940 432425 484316 605395 864850 1210790 1729700 2421580 3026975 6053950 12107900