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10513332 = 2232292037
BaseRepresentation
bin101000000110…
…101110110100
3201210010120200
4220012232310
510142411312
61013200500
7155235054
oct50065664
921703520
1010513332
115a30905
123630130
13224140b
141579564
15dca0dc
hexa06bb4

10513332 has 18 divisors (see below), whose sum is σ = 26575458. Its totient is φ = 3504432.

The previous prime is 10513331. The next prime is 10513333. The reversal of 10513332 is 23331501.

It is an interprime number because it is at equal distance from previous prime (10513331) and next prime (10513333).

It can be written as a sum of positive squares in only one way, i.e., 6687396 + 3825936 = 2586^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105133322 = 221060299484448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513331) 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, 145983 + ... + 146054.

Almost surely, 210513332 is an apocalyptic number.

10513332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10513332 is an abundant number, since it is smaller than the sum of its proper divisors (16062126).

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

10513332 is a wasteful number, since it uses less digits than its factorization.

10513332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292047 (or 292042 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10513332 is about 3242.4268688746. The cubic root of 10513332 is about 219.0685967637.

Adding to 10513332 its reverse (23331501), we get a palindrome (33844833).

The spelling of 10513332 in words is "ten million, five hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 292037 584074 876111 1168148 1752222 2628333 3504444 5256666 10513332