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12979134 = 2327239431
BaseRepresentation
bin110001100000…
…101110111110
3220102102000200
4301200232332
511310313014
61142104330
7215215020
oct61405676
926372020
1012979134
117365463
12441b0a6
1328c587c
141a1c010
151215a09
hexc60bbe

12979134 has 48 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 3684240.

The previous prime is 12979129. The next prime is 12979139. The reversal of 12979134 is 43197921.

It is an interprime number because it is at equal distance from previous prime (12979129) and next prime (12979139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12979139) 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 23 ways as a sum of consecutive naturals, for example, 29899 + ... + 30329.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 212979134 is an apocalyptic number.

12979134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12979134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12979134 is an abundant number, since it is smaller than the sum of its proper divisors (19369026).

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

12979134 is a wasteful number, since it uses less digits than its factorization.

12979134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 12979134 is about 3602.6565198475. The cubic root of 12979134 is about 235.0075989696.

The spelling of 12979134 in words is "twelve million, nine hundred seventy-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 431 478 717 862 1293 1434 1673 2151 2586 3017 3346 3879 4302 5019 6034 7758 9051 10038 15057 18102 27153 30114 54306 103009 206018 309027 618054 721063 927081 1442126 1854162 2163189 4326378 6489567 12979134