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10089468 = 2233103907
BaseRepresentation
bin100110011111…
…001111111100
3200222121011000
4212133033330
510040330333
61000130300
7151521234
oct46371774
920877130
1010089468
115771404
123466990
1321234cc
1414a8cc4
15d44713
hex99f3fc

10089468 has 48 divisors (see below), whose sum is σ = 26440960. Its totient is φ = 3326832.

The previous prime is 10089467. The next prime is 10089481. The reversal of 10089468 is 86498001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10671 + ... + 11577.

Almost surely, 210089468 is an apocalyptic number.

10089468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220480).

10089468 is an abundant number, since it is smaller than the sum of its proper divisors (16351492).

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

10089468 is a wasteful number, since it uses less digits than its factorization.

10089468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10089468 is about 3176.3922931527. The cubic root of 10089468 is about 216.0840722112.

The spelling of 10089468 in words is "ten million, eighty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 907 927 1236 1814 1854 2721 2781 3628 3708 5442 5562 8163 10884 11124 16326 24489 32652 48978 93421 97956 186842 280263 373684 560526 840789 1121052 1681578 2522367 3363156 5044734 10089468