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12304920 = 233541261
BaseRepresentation
bin101110111100…
…001000011000
3212011011011210
4232330020120
511122224140
61115423120
7206406255
oct56741030
925134153
1012304920
116a44961
124154aa0
13271aa24
1418c442c
151130d80
hexbbc218

12304920 has 96 divisors (see below), whose sum is σ = 38457360. Its totient is φ = 3148800.

The previous prime is 12304907. The next prime is 12304921. The reversal of 12304920 is 2940321.

It is a super-2 number, since 2×123049202 = 302822112412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304921) 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 23 ways as a sum of consecutive naturals, for example, 201690 + ... + 201750.

Almost surely, 212304920 is an apocalyptic number.

12304920 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 12304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228680).

12304920 is an abundant number, since it is smaller than the sum of its proper divisors (26152440).

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

12304920 is a wasteful number, since it uses less digits than its factorization.

12304920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12304920 is about 3507.8369403380. The cubic root of 12304920 is about 230.8657978757.

It can be divided in two parts, 1230 and 4920, that multiplied together give a square (6051600 = 24602).

The spelling of 12304920 in words is "twelve million, three hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 61 82 120 122 123 164 183 205 244 246 305 328 366 410 488 492 610 615 732 820 915 984 1220 1230 1464 1640 1681 1830 2440 2460 2501 3362 3660 4920 5002 5043 6724 7320 7503 8405 10004 10086 12505 13448 15006 16810 20008 20172 25010 25215 30012 33620 37515 40344 50020 50430 60024 67240 75030 100040 100860 102541 150060 201720 205082 300120 307623 410164 512705 615246 820328 1025410 1230492 1538115 2050820 2460984 3076230 4101640 6152460 12304920