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12922040 = 2351731613
BaseRepresentation
bin110001010010…
…110010111000
3220022111201002
4301102302320
511302001130
61140544132
7214556405
oct61226270
926274632
1012922040
11732657a
1243b2048
1328a58a1
141a052ac
151203b45
hexc52cb8

12922040 has 64 divisors (see below), whose sum is σ = 31829760. Its totient is φ = 4700160.

The previous prime is 12922031. The next prime is 12922051. The reversal of 12922040 is 4022921.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 20774 + ... + 21386.

It is an arithmetic number, because the mean of its divisors is an integer number (497340).

Almost surely, 212922040 is an apocalyptic number.

12922040 is a gapful number since it is divisible by the number (10) 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 12922040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914880).

12922040 is an abundant number, since it is smaller than the sum of its proper divisors (18907720).

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

12922040 is a wasteful number, since it uses less digits than its factorization.

12922040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12922040 is about 3594.7239115125. The cubic root of 12922040 is about 234.6625002847.

Adding to 12922040 its reverse (4022921), we get a palindrome (16944961).

The spelling of 12922040 in words is "twelve million, nine hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 613 620 680 1054 1226 1240 2108 2452 2635 3065 4216 4904 5270 6130 10421 10540 12260 19003 20842 21080 24520 38006 41684 52105 76012 83368 95015 104210 152024 190030 208420 323051 380060 416840 646102 760120 1292204 1615255 2584408 3230510 6461020 12922040