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12387872 = 257291907
BaseRepresentation
bin101111010000…
…011000100000
3212022100222002
4233100120200
511132402442
61121303132
7210203150
oct57203040
925270862
1012387872
116aa1212
124194aa8
132749703
141906760
15114a732
hexbd0620

12387872 has 48 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 5123328.

The previous prime is 12387871. The next prime is 12387877. The reversal of 12387872 is 27878321.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12387871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5543 + ... + 7449.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 212387872 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 12387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

12387872 is an abundant number, since it is smaller than the sum of its proper divisors (16461088).

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

12387872 is a wasteful number, since it uses less digits than its factorization.

12387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 12387872 is about 3519.6408907728. The cubic root of 12387872 is about 231.3834202567.

The spelling of 12387872 in words is "twelve million, three hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1907 3248 3814 6496 7628 13349 15256 26698 30512 53396 55303 61024 106792 110606 213584 221212 387121 427168 442424 774242 884848 1548484 1769696 3096968 6193936 12387872