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12905920 = 265311301
BaseRepresentation
bin110001001110…
…110111000000
3220021200121001
4301032313000
511300442140
61140341344
7214461406
oct61166700
926250531
1012905920
117315455
1243a4854
13289b451
1419dd476
1511ede9a
hexc4edc0

12905920 has 56 divisors (see below), whose sum is σ = 31747968. Its totient is φ = 4992000.

The previous prime is 12905911. The next prime is 12905923. The reversal of 12905920 is 2950921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9270 + ... + 10570.

It is an arithmetic number, because the mean of its divisors is an integer number (566928).

Almost surely, 212905920 is an apocalyptic number.

12905920 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 12905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984).

12905920 is an abundant number, since it is smaller than the sum of its proper divisors (18842048).

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

12905920 is a wasteful number, since it uses less digits than its factorization.

12905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 12905920 is about 3592.4810368323. The cubic root of 12905920 is about 234.5648806733.

The spelling of 12905920 in words is "twelve million, nine hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1301 1984 2480 2602 4960 5204 6505 9920 10408 13010 20816 26020 40331 41632 52040 80662 83264 104080 161324 201655 208160 322648 403310 416320 645296 806620 1290592 1613240 2581184 3226480 6452960 12905920