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10534932 = 2232353829
BaseRepresentation
bin101000001100…
…000000010100
3201211020012200
4220030000110
510144104212
61013444500
7155355042
oct50140024
921736180
1010534932
115a46061
123640730
13224b1b5
141583392
15dd16dc
hexa0c014

10534932 has 36 divisors (see below), whose sum is σ = 26737620. Its totient is φ = 3497472.

The previous prime is 10534921. The next prime is 10534939. The reversal of 10534932 is 23943501.

It can be written as a sum of positive squares in 2 ways, for example, as 5171076 + 5363856 = 2274^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105349322 = 221969584489248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10534896 and 10534905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12294 + ... + 13122.

Almost surely, 210534932 is an apocalyptic number.

10534932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10534932 is an abundant number, since it is smaller than the sum of its proper divisors (16202688).

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

10534932 is a wasteful number, since it uses less digits than its factorization.

10534932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10534932 is about 3245.7559982229. The cubic root of 10534932 is about 219.2185221087.

The spelling of 10534932 in words is "ten million, five hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 829 1059 1412 1658 2118 2487 3177 3316 4236 4974 6354 7461 9948 12708 14922 29844 292637 585274 877911 1170548 1755822 2633733 3511644 5267466 10534932