[go: up one dir, main page]

Search a number
-
+
12246792 = 23319107251
BaseRepresentation
bin101110101101…
…111100001000
3212001012102220
4232231330020
511113344132
61114254040
7206044635
oct56557410
925035386
1012246792
116a05218
124127320
1326ca42c
1418ab18c
15111da2c
hexbadf08

12246792 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3816000.

The previous prime is 12246779. The next prime is 12246799. The reversal of 12246792 is 29764221.

It is not an unprimeable number, because it can be changed into a prime (12246799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48667 + ... + 48917.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212246792 is an apocalyptic number.

12246792 is a gapful number since it is divisible by the number (12) 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 12246792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12246792 is an abundant number, since it is smaller than the sum of its proper divisors (20412408).

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

12246792 is a wasteful number, since it uses less digits than its factorization.

12246792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12246792 is about 3499.5416842781. The cubic root of 12246792 is about 230.5016900167.

The spelling of 12246792 in words is "twelve million, two hundred forty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 251 321 428 456 502 642 753 856 1004 1284 1506 2008 2033 2568 3012 4066 4769 6024 6099 8132 9538 12198 14307 16264 19076 24396 26857 28614 38152 48792 53714 57228 80571 107428 114456 161142 214856 322284 510283 644568 1020566 1530849 2041132 3061698 4082264 6123396 12246792