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10613352 = 23347972
BaseRepresentation
bin101000011111…
…001001101000
3201222012210010
4220133021220
510204111402
61015251520
7156132501
oct50371150
921865703
1010613352
115a99a72
123679ba0
132277ab9
1415a3ba8
15de9a6c
hexa1f268

10613352 has 48 divisors (see below), whose sum is σ = 27380160. Its totient is φ = 3426816.

The previous prime is 10613347. The next prime is 10613353. The reversal of 10613352 is 25331601.

It is a super-2 number, since 2×106133522 = 225286481351808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10613353) 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 11 ways as a sum of consecutive naturals, for example, 109368 + ... + 109464.

It is an arithmetic number, because the mean of its divisors is an integer number (570420).

Almost surely, 210613352 is an apocalyptic number.

10613352 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 10613352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690080).

10613352 is an abundant number, since it is smaller than the sum of its proper divisors (16766808).

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

10613352 is an equidigital number, since it uses as much as digits as its factorization.

10613352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 10613352 is about 3257.8139910069. The cubic root of 10613352 is about 219.7611181200.

Adding to 10613352 its reverse (25331601), we get a palindrome (35944953).

The spelling of 10613352 in words is "ten million, six hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 97 141 188 194 282 291 376 388 564 582 776 1128 1164 2328 4559 9118 9409 13677 18236 18818 27354 28227 36472 37636 54708 56454 75272 109416 112908 225816 442223 884446 1326669 1768892 2653338 3537784 5306676 10613352