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12897792 = 2934311
BaseRepresentation
bin110001001100…
…111000000000
3220021021110000
4301030320000
511300212132
61140240000
7214425615
oct61147000
926237400
1012897792
11730a336
1243a0000
13289783b
1419da50c
1511eb87c
hexc4ce00

12897792 has 100 divisors (see below), whose sum is σ = 38620296. Its totient is φ = 4285440.

The previous prime is 12897769. The next prime is 12897803. The reversal of 12897792 is 29779821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41317 + ... + 41627.

Almost surely, 212897792 is an apocalyptic number.

12897792 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 12897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310148).

12897792 is an abundant number, since it is smaller than the sum of its proper divisors (25722504).

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

12897792 is an frugal number, since it uses more digits than its factorization.

12897792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 12897792 is about 3591.3496070419. The cubic root of 12897792 is about 234.5156282442.

It can be divided in two parts, 12897 and 792, that added together give a square (13689 = 1172).

The spelling of 12897792 in words is "twelve million, eight hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 311 324 384 432 512 576 622 648 768 864 933 1152 1244 1296 1536 1728 1866 2304 2488 2592 2799 3456 3732 4608 4976 5184 5598 6912 7464 8397 9952 10368 11196 13824 14928 16794 19904 20736 22392 25191 29856 33588 39808 41472 44784 50382 59712 67176 79616 89568 100764 119424 134352 159232 179136 201528 238848 268704 358272 403056 477696 537408 716544 806112 1074816 1433088 1612224 2149632 3224448 4299264 6448896 12897792