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12941920 = 255471721
BaseRepresentation
bin110001010111…
…101001100000
3220100111222101
4301113221200
511303120140
61141220144
7215001355
oct61275140
926314871
1012941920
11733a502
124401654
1328b1954
141a0c62c
15120999a
hexc57a60

12941920 has 48 divisors (see below), whose sum is σ = 31243968. Its totient is φ = 5063680.

The previous prime is 12941909. The next prime is 12941923. The reversal of 12941920 is 2914921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941923) 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, 6660 + ... + 8380.

It is an arithmetic number, because the mean of its divisors is an integer number (650916).

Almost surely, 212941920 is an apocalyptic number.

12941920 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 12941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621984).

12941920 is an abundant number, since it is smaller than the sum of its proper divisors (18302048).

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

12941920 is a wasteful number, since it uses less digits than its factorization.

12941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 12941920 is about 3597.4880124887. The cubic root of 12941920 is about 234.7827779963.

It can be divided in two parts, 12941 and 920, that added together give a triangular number (13861 = T166).

The spelling of 12941920 in words is "twelve million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1721 1880 3442 3760 6884 7520 8605 13768 17210 27536 34420 55072 68840 80887 137680 161774 275360 323548 404435 647096 808870 1294192 1617740 2588384 3235480 6470960 12941920