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10112984 = 237419431
BaseRepresentation
bin100110100100…
…111111011000
3201000210101222
4212210333120
510042103414
61000431212
7151646630
oct46447730
921023358
1010112984
115788042
123478508
13213111b
1414b36c0
15d4b68e
hex9a4fd8

10112984 has 32 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4313760.

The previous prime is 10112897. The next prime is 10112989. The reversal of 10112984 is 48921101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23249 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 210112984 is an apocalyptic number.

10112984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10112984 is an abundant number, since it is smaller than the sum of its proper divisors (11659816).

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

10112984 is a wasteful number, since it uses less digits than its factorization.

10112984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10112984 is about 3180.0918225737. The cubic root of 10112984 is about 216.2518210723.

The spelling of 10112984 in words is "ten million, one hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 419 431 838 862 1676 1724 2933 3017 3352 3448 5866 6034 11732 12068 23464 24136 180589 361178 722356 1264123 1444712 2528246 5056492 10112984