Search a number
-
+
12192900 = 2235297419
BaseRepresentation
bin101110100000…
…110010000100
3211221110111220
4232200302010
511110133100
61113200340
7205431546
oct56406204
924843456
1012192900
116978785
1241000b0
1326aba45
141895696
15110caa0
hexba0c84

12192900 has 72 divisors (see below), whose sum is σ = 35726880. Its totient is φ = 3210240.

The previous prime is 12192899. The next prime is 12192919. The reversal of 12192900 is 929121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28891 + ... + 29309.

Almost surely, 212192900 is an apocalyptic number.

12192900 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 12192900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863440).

12192900 is an abundant number, since it is smaller than the sum of its proper divisors (23533980).

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

12192900 is a wasteful number, since it uses less digits than its factorization.

12192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12192900 is about 3491.8333293558. The cubic root of 12192900 is about 230.1630853425.

The spelling of 12192900 in words is "twelve million, one hundred ninety-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 419 485 582 838 970 1164 1257 1455 1676 1940 2095 2425 2514 2910 4190 4850 5028 5820 6285 7275 8380 9700 10475 12570 14550 20950 25140 29100 31425 40643 41900 62850 81286 121929 125700 162572 203215 243858 406430 487716 609645 812860 1016075 1219290 2032150 2438580 3048225 4064300 6096450 12192900