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12922080 = 253526921
BaseRepresentation
bin110001010010…
…110011100000
3220022111202120
4301102303200
511302001310
61140544240
7214556463
oct61226340
926274676
1012922080
117326606
1243b2080
1328a5902
141a052da
151203b70
hexc52ce0

12922080 has 48 divisors (see below), whose sum is σ = 40706064. Its totient is φ = 3445760.

The previous prime is 12922079. The next prime is 12922087. The reversal of 12922080 is 8022921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12922080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12981 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (848043).

Almost surely, 212922080 is an apocalyptic number.

12922080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12922080 is an abundant number, since it is smaller than the sum of its proper divisors (27783984).

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

12922080 is a wasteful number, since it uses less digits than its factorization.

12922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26939 (or 26931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12922080 is about 3594.7294752179. The cubic root of 12922080 is about 234.6627424160.

The spelling of 12922080 in words is "twelve million, nine hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26921 53842 80763 107684 134605 161526 215368 269210 323052 403815 430736 538420 646104 807630 861472 1076840 1292208 1615260 2153680 2584416 3230520 4307360 6461040 12922080