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12073920 = 263512577
BaseRepresentation
bin101110000011…
…101111000000
3211201102022020
4232003233000
511042331140
61110441440
7204424635
oct56035700
924642266
1012073920
1168a7351
124063280
132669841
14186418c
1510d76d0
hexb83bc0

12073920 has 56 divisors (see below), whose sum is σ = 38337744. Its totient is φ = 3219456.

The previous prime is 12073909. The next prime is 12073921. The reversal of 12073920 is 2937021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073921) 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, 5329 + ... + 7248.

Almost surely, 212073920 is an apocalyptic number.

12073920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12073920 is an abundant number, since it is smaller than the sum of its proper divisors (26263824).

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

12073920 is a wasteful number, since it uses less digits than its factorization.

12073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 12073920 is about 3474.7546675989. The cubic root of 12073920 is about 229.4119825190.

The spelling of 12073920 in words is "twelve million, seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 12577 25154 37731 50308 62885 75462 100616 125770 150924 188655 201232 251540 301848 377310 402464 503080 603696 754620 804928 1006160 1207392 1509240 2012320 2414784 3018480 4024640 6036960 12073920