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10535924 = 227376283
BaseRepresentation
bin101000001100…
…001111110100
3201211021120102
4220030033310
510144122144
61013453232
7155360660
oct50141764
921737512
1010535924
115a46883
123641218
13224b799
1415838a0
15dd1b4e
hexa0c3f4

10535924 has 12 divisors (see below), whose sum is σ = 21071904. Its totient is φ = 4515384.

The previous prime is 10535911. The next prime is 10535929. The reversal of 10535924 is 42953501.

10535924 is an admirable number.

It is a super-2 number, since 2×105359242 = 222011389067552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535929) 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 3 ways as a sum of consecutive naturals, for example, 188114 + ... + 188169.

It is an arithmetic number, because the mean of its divisors is an integer number (1755992).

Almost surely, 210535924 is an apocalyptic number.

10535924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10535924 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10535924 is a wasteful number, since it uses less digits than its factorization.

10535924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376294 (or 376292 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 10535924 is about 3245.9088095632. The cubic root of 10535924 is about 219.2254026450.

The spelling of 10535924 in words is "ten million, five hundred thirty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 376283 752566 1505132 2633981 5267962 10535924