Search a number
-
+
12787992 = 2332725373
BaseRepresentation
bin110000110010…
…000100011000
3220001200211100
4300302010120
511233203432
61134031400
7213460530
oct60620430
926050740
1012787992
117244898
124348560
132859879
1419ac4c0
1511c907c
hexc32118

12787992 has 48 divisors (see below), whose sum is σ = 39583440. Its totient is φ = 3653568.

The previous prime is 12787981. The next prime is 12787993. The reversal of 12787992 is 29978721.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12183 + ... + 13190.

It is an arithmetic number, because the mean of its divisors is an integer number (824655).

Almost surely, 212787992 is an apocalyptic number.

12787992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12787992 is an abundant number, since it is smaller than the sum of its proper divisors (26795448).

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

12787992 is a wasteful number, since it uses less digits than its factorization.

12787992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25392 (or 25385 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 12787992 is about 3576.0302012147. The cubic root of 12787992 is about 233.8482469937.

The spelling of 12787992 in words is "twelve million, seven hundred eighty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 25373 50746 76119 101492 152238 177611 202984 228357 304476 355222 456714 532833 608952 710444 913428 1065666 1420888 1598499 1826856 2131332 3196998 4262664 6393996 12787992