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10082832 = 243239133
BaseRepresentation
bin100110011101…
…101000010000
3200222021001020
4212131220100
510040122312
61000035440
7151463004
oct46355020
920867036
1010082832
115767421
123462b80
132120496
1414a6704
15d4278c
hex99da10

10082832 has 40 divisors (see below), whose sum is σ = 27182784. Its totient is φ = 3214464.

The previous prime is 10082803. The next prime is 10082837. The reversal of 10082832 is 23828001.

It is a super-2 number, since 2×100828322 = 203327002280448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10082837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463 + ... + 5670.

Almost surely, 210082832 is an apocalyptic number.

10082832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10082832 is an abundant number, since it is smaller than the sum of its proper divisors (17099952).

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

10082832 is a wasteful number, since it uses less digits than its factorization.

10082832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10082832 is about 3175.3475400340. The cubic root of 10082832 is about 216.0366878697.

The spelling of 10082832 in words is "ten million, eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 9133 18266 27399 36532 54798 73064 109596 146128 210059 219192 420118 438384 630177 840236 1260354 1680472 2520708 3360944 5041416 10082832