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12387288 = 2331797313
BaseRepresentation
bin101111010000…
…001111011000
3212022100011110
4233100033120
511132343123
61121300320
7210201354
oct57201730
925270143
1012387288
116aa0831
1241946a0
132749374
141906464
15114a493
hexbd03d8

12387288 has 64 divisors (see below), whose sum is σ = 33233760. Its totient is φ = 3833856.

The previous prime is 12387281. The next prime is 12387293. The reversal of 12387288 is 88278321.

12387288 = T357 + T358 + ... + T492.

12387288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12387281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39420 + ... + 39732.

Almost surely, 212387288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12387288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616880).

12387288 is an abundant number, since it is smaller than the sum of its proper divisors (20846472).

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

12387288 is a wasteful number, since it uses less digits than its factorization.

12387288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 12387288 is about 3519.5579267857. The cubic root of 12387288 is about 231.3797841723.

The spelling of 12387288 in words is "twelve million, three hundred eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 291 313 388 408 582 626 776 939 1164 1252 1649 1878 2328 2504 3298 3756 4947 5321 6596 7512 9894 10642 13192 15963 19788 21284 30361 31926 39576 42568 60722 63852 91083 121444 127704 182166 242888 364332 516137 728664 1032274 1548411 2064548 3096822 4129096 6193644 12387288