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12833088 = 26389751
BaseRepresentation
bin110000111101…
…000101000000
3220010222200120
4300331011000
511241124323
61135020240
7214036152
oct60750500
926128616
1012833088
117275764
12436a680
132874258
1419c0ad2
1511d75e3
hexc3d140

12833088 has 56 divisors (see below), whose sum is σ = 34381440. Its totient is φ = 4224000.

The previous prime is 12833087. The next prime is 12833089. The reversal of 12833088 is 88033821.

It is an interprime number because it is at equal distance from previous prime (12833087) and next prime (12833089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12833083) 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, 16713 + ... + 17463.

Almost surely, 212833088 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 12833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190720).

12833088 is an abundant number, since it is smaller than the sum of its proper divisors (21548352).

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

12833088 is an equidigital number, since it uses as much as digits as its factorization.

12833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 12833088 is about 3582.3299680515. The cubic root of 12833088 is about 234.1228079159.

It can be divided in two parts, 1283 and 3088, that added together give a triangular number (4371 = T93).

The spelling of 12833088 in words is "twelve million, eight hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 751 1068 1424 1502 2136 2253 2848 3004 4272 4506 5696 6008 8544 9012 12016 17088 18024 24032 36048 48064 66839 72096 133678 144192 200517 267356 401034 534712 802068 1069424 1604136 2138848 3208272 4277696 6416544 12833088