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12930918 = 23711132153
BaseRepresentation
bin110001010100…
…111101100110
3220022221212220
4301110331212
511302242133
61141053210
7214624320
oct61247546
926287786
1012930918
117332210
1243b7206
1328a9940
141a08610
1512065b3
hexc54f66

12930918 has 64 divisors (see below), whose sum is σ = 34739712. Its totient is φ = 3098880.

The previous prime is 12930913. The next prime is 12930923. The reversal of 12930918 is 81903921.

It is an interprime number because it is at equal distance from previous prime (12930913) and next prime (12930923).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930913) 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 31 ways as a sum of consecutive naturals, for example, 4930 + ... + 7082.

It is an arithmetic number, because the mean of its divisors is an integer number (542808).

Almost surely, 212930918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12930918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369856).

12930918 is an abundant number, since it is smaller than the sum of its proper divisors (21808794).

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

12930918 is a wasteful number, since it uses less digits than its factorization.

12930918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 12930918 is about 3595.9585648336. The cubic root of 12930918 is about 234.7162290754.

It can be divided in two parts, 12 and 930918, that added together give a triangular number (930930 = T1364).

The spelling of 12930918 in words is "twelve million, nine hundred thirty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2153 3003 4306 6006 6459 12918 15071 23683 27989 30142 45213 47366 55978 71049 83967 90426 142098 165781 167934 195923 307879 331562 391846 497343 587769 615758 923637 994686 1175538 1847274 2155153 4310306 6465459 12930918