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12388920 = 2335176073
BaseRepresentation
bin101111010000…
…101000111000
3212022102101220
4233100220320
511132421140
61121312040
7210206205
oct57205070
925272356
1012388920
116aa1a85
124195620
13274a02b
141906cac
15114abd0
hexbd0a38

12388920 has 64 divisors (see below), whose sum is σ = 39359520. Its totient is φ = 3108864.

The previous prime is 12388913. The next prime is 12388921. The reversal of 12388920 is 2988321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12388921) 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 15 ways as a sum of consecutive naturals, for example, 997 + ... + 5076.

Almost surely, 212388920 is an apocalyptic number.

12388920 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 12388920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679760).

12388920 is an abundant number, since it is smaller than the sum of its proper divisors (26970600).

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

12388920 is a wasteful number, since it uses less digits than its factorization.

12388920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12388920 is about 3519.7897664491. The cubic root of 12388920 is about 231.3899449981.

The spelling of 12388920 in words is "twelve million, three hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6073 12146 18219 24292 30365 36438 48584 60730 72876 91095 103241 121460 145752 182190 206482 242920 309723 364380 412964 516205 619446 728760 825928 1032410 1238892 1548615 2064820 2477784 3097230 4129640 6194460 12388920