Search a number
-
+
12912534 = 2351632
BaseRepresentation
bin110001010000…
…011110010110
3220022000200000
4301100132112
511301200114
61140432130
7214516605
oct61203626
926260600
1012912534
11731a418
1243a8646
1328a146b
141a01a3c
151200e09
hexc50796

12912534 has 36 divisors (see below), whose sum is σ = 29192436. Its totient is φ = 4277772.

The previous prime is 12912527. The next prime is 12912551. The reversal of 12912534 is 43521921.

12912534 is a `hidden beast` number, since 129 + 1 + 2 + 534 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12912498 and 12912507.

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 17 ways as a sum of consecutive naturals, for example, 79137 + ... + 79299.

It is an arithmetic number, because the mean of its divisors is an integer number (810901).

Almost surely, 212912534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12912534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596218).

12912534 is an abundant number, since it is smaller than the sum of its proper divisors (16279902).

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

12912534 is an frugal number, since it uses more digits than its factorization.

12912534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 168 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12912534 is about 3593.4014526629. The cubic root of 12912534 is about 234.6049436102.

The spelling of 12912534 in words is "twelve million, nine hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 978 1467 2934 4401 8802 13203 26406 26569 39609 53138 79218 79707 159414 239121 478242 717363 1434726 2152089 4304178 6456267 12912534