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13122288 = 243291127
BaseRepresentation
bin110010000011…
…101011110000
3220200200101200
4302003223300
511324403123
61145131200
7216352254
oct62035360
926620350
1013122288
117452a73
124489b00
132945a8a
141a58264
151243143
hexc83af0

13122288 has 30 divisors (see below), whose sum is σ = 36724584. Its totient is φ = 4374048.

The previous prime is 13122253. The next prime is 13122289. The reversal of 13122288 is 88222131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45420 + ... + 45707.

Almost surely, 213122288 is an apocalyptic number.

13122288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13122288 is an abundant number, since it is smaller than the sum of its proper divisors (23602296).

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

13122288 is a wasteful number, since it uses less digits than its factorization.

13122288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91141 (or 91132 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13122288 is about 3622.4698756511. The cubic root of 13122288 is about 235.8684510572.

It can be divided in two parts, 13122 and 288, that multiplied together give a square (3779136 = 19442).

The spelling of 13122288 in words is "thirteen million, one hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 91127 182254 273381 364508 546762 729016 820143 1093524 1458032 1640286 2187048 3280572 4374096 6561144 13122288