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12949376 = 271117541
BaseRepresentation
bin110001011001…
…011110000000
3220100220012112
4301121132000
511303340001
61141314452
7215032166
oct61313600
926326175
1012949376
117345070
124405a28
1328b516b
141a11236
15120bcbb
hexc59780

12949376 has 64 divisors (see below), whose sum is σ = 29853360. Its totient is φ = 5529600.

The previous prime is 12949373. The next prime is 12949429. The reversal of 12949376 is 67394921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12949373) 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, 23666 + ... + 24206.

Almost surely, 212949376 is an apocalyptic number.

12949376 is a gapful number since it is divisible by the number (16) 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 12949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926680).

12949376 is an abundant number, since it is smaller than the sum of its proper divisors (16903984).

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

12949376 is a wasteful number, since it uses less digits than its factorization.

12949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 12949376 is about 3598.5241419226. The cubic root of 12949376 is about 234.8278564270.

The spelling of 12949376 in words is "twelve million, nine hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 541 544 704 748 1082 1088 1408 1496 2164 2176 2992 4328 5951 5984 8656 9197 11902 11968 17312 18394 23804 23936 34624 36788 47608 69248 73576 95216 101167 147152 190432 202334 294304 380864 404668 588608 761728 809336 1177216 1618672 3237344 6474688 12949376