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11306952 = 233417449
BaseRepresentation
bin101011001000…
…011111001000
3210021110020000
4223020133020
510343310302
61042203000
7165051606
oct53103710
923243200
1011306952
116423098
123953460
13245b707
141704876
15ed531c
hexac87c8

11306952 has 40 divisors (see below), whose sum is σ = 31671750. Its totient is φ = 3768768.

The previous prime is 11306951. The next prime is 11306959. The reversal of 11306952 is 25960311.

It can be written as a sum of positive squares in only one way, i.e., 6081156 + 5225796 = 2466^2 + 2286^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11306951) 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 9 ways as a sum of consecutive naturals, for example, 8077 + ... + 9372.

Almost surely, 211306952 is an apocalyptic number.

11306952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11306952 is an abundant number, since it is smaller than the sum of its proper divisors (20364798).

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

11306952 is a wasteful number, since it uses less digits than its factorization.

11306952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17467 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 11306952 is about 3362.5811514371. The cubic root of 11306952 is about 224.4477121230.

The spelling of 11306952 in words is "eleven million, three hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17449 34898 52347 69796 104694 139592 157041 209388 314082 418776 471123 628164 942246 1256328 1413369 1884492 2826738 3768984 5653476 11306952