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12671952 = 2434147137
BaseRepresentation
bin110000010101…
…101111010000
3212211210122120
4300111233100
511221000302
61131334240
7212465316
oct60255720
925753576
1012671952
117175697
1242b1380
132818ac7
14197c0b6
1511a49bc
hexc15bd0

12671952 has 80 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 4003840.

The previous prime is 12671951. The next prime is 12671959. The reversal of 12671952 is 25917621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671951) 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, 92428 + ... + 92564.

Almost surely, 212671952 is an apocalyptic number.

12671952 is a gapful number since it is divisible by the number (12) 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 12671952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

12671952 is an abundant number, since it is smaller than the sum of its proper divisors (21825840).

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

12671952 is a wasteful number, since it uses less digits than its factorization.

12671952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 12671952 is about 3559.7685318009. The cubic root of 12671952 is about 233.1387729622.

The spelling of 12671952 in words is "twelve million, six hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 137 141 164 188 246 274 282 328 376 411 492 548 564 656 752 822 984 1096 1128 1644 1927 1968 2192 2256 3288 3854 5617 5781 6439 6576 7708 11234 11562 12878 15416 16851 19317 22468 23124 25756 30832 33702 38634 44936 46248 51512 67404 77268 89872 92496 103024 134808 154536 263999 269616 309072 527998 791997 1055996 1583994 2111992 3167988 4223984 6335976 12671952