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12495984 = 2432947191
BaseRepresentation
bin101111101010…
…110001110000
3212111212021020
4233222301300
511144332414
61123455440
7211133304
oct57526160
925455236
1012495984
117065466
124227580
132786997
141933d04
15116c7a9
hexbeac70

12495984 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3915520.

The previous prime is 12495971. The next prime is 12495991. The reversal of 12495984 is 48959421.

It is a super-2 number, since 2×124959842 = 312299232256512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65329 + ... + 65519.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 212495984 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 12495984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

12495984 is an abundant number, since it is smaller than the sum of its proper divisors (21787536).

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

12495984 is a wasteful number, since it uses less digits than its factorization.

12495984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 12495984 is about 3534.9659121412. The cubic root of 12495984 is about 232.0545848574.

The spelling of 12495984 in words is "twelve million, four hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 191 232 282 348 376 382 464 564 573 696 752 764 1128 1146 1363 1392 1528 2256 2292 2726 3056 4089 4584 5452 5539 8178 8977 9168 10904 11078 16356 16617 17954 21808 22156 26931 32712 33234 35908 44312 53862 65424 66468 71816 88624 107724 132936 143632 215448 260333 265872 430896 520666 780999 1041332 1561998 2082664 3123996 4165328 6247992 12495984