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12900272 = 2471137283
BaseRepresentation
bin110001001101…
…011110110000
3220021101211212
4301031132300
511300302042
61140255252
7214436060
oct61153660
926241755
1012900272
117311190
1243a1528
1328989c8
1419db3a0
1511ec482
hexc4d7b0

12900272 has 80 divisors (see below), whose sum is σ = 32116992. Its totient is φ = 4872960.

The previous prime is 12900227. The next prime is 12900289. The reversal of 12900272 is 27200921.

12900272 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45443 + ... + 45725.

Almost surely, 212900272 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 12900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058496).

12900272 is an abundant number, since it is smaller than the sum of its proper divisors (19216720).

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

12900272 is a wasteful number, since it uses less digits than its factorization.

12900272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 12900272 is about 3591.6948645451. The cubic root of 12900272 is about 234.5306582454.

The spelling of 12900272 in words is "twelve million, nine hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 283 296 308 407 518 566 592 616 814 1036 1132 1232 1628 1981 2072 2264 2849 3113 3256 3962 4144 4528 5698 6226 6512 7924 10471 11396 12452 15848 20942 21791 22792 24904 31696 41884 43582 45584 49808 73297 83768 87164 115181 146594 167536 174328 230362 293188 348656 460724 586376 806267 921448 1172752 1612534 1842896 3225068 6450136 12900272