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12799072 = 2511132797
BaseRepresentation
bin110000110100…
…110001100000
3220002021000201
4300310301200
511234032242
61134154544
7213535036
oct60646140
926067021
1012799072
117252150
124352a54
132861920
1419b2556
1511cc4b7
hexc34c60

12799072 has 48 divisors (see below), whose sum is σ = 29614032. Its totient is φ = 5368320.

The previous prime is 12799067. The next prime is 12799091. The reversal of 12799072 is 27099721.

It is a super-2 number, since 2×127990722 = 327632488122368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3178 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (616959).

Almost surely, 212799072 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 12799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807016).

12799072 is an abundant number, since it is smaller than the sum of its proper divisors (16814960).

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

12799072 is a wasteful number, since it uses less digits than its factorization.

12799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 12799072 is about 3577.5790697062. The cubic root of 12799072 is about 233.9157658194.

It can be divided in two parts, 127 and 99072, that added together give a palindrome (99199).

The spelling of 12799072 in words is "twelve million, seven hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 2797 4576 5594 11188 22376 30767 36361 44752 61534 72722 89504 123068 145444 246136 290888 399971 492272 581776 799942 984544 1163552 1599884 3199768 6399536 12799072