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10184868 = 2232282913
BaseRepresentation
bin100110110110…
…100010100100
3201011110000100
4212312202210
510101403433
61002144100
7152366331
oct46664244
921143010
1010184868
115827051
1234b2030
132157a65
1414d1988
15d62b13
hex9b68a4

10184868 has 18 divisors (see below), whose sum is σ = 25745174. Its totient is φ = 3394944.

The previous prime is 10184861. The next prime is 10184869. The reversal of 10184868 is 86848101.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 186624 = 3162^2 + 432^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 282913 = 10184868 / (1 + 0 + 1 + 8 + 4 + 8 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (10184861) 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, 141421 + ... + 141492.

Almost surely, 210184868 is an apocalyptic number.

10184868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10184868 is an abundant number, since it is smaller than the sum of its proper divisors (15560306).

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

10184868 is a wasteful number, since it uses less digits than its factorization.

10184868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282923 (or 282918 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10184868 is about 3191.3739987660. The cubic root of 10184868 is about 216.7629909640.

It can be divided in two parts, 1018 and 4868, that added together give a triangular number (5886 = T108).

The spelling of 10184868 in words is "ten million, one hundred eighty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 282913 565826 848739 1131652 1697478 2546217 3394956 5092434 10184868