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10089810 = 2325711579
BaseRepresentation
bin100110011111…
…010101010010
3200222121121200
4212133111102
510040333220
61000132030
7151522233
oct46372522
920877550
1010089810
115771695
123467016
132123703
1414a908a
15d44890
hex99f552

10089810 has 48 divisors (see below), whose sum is σ = 26619840. Its totient is φ = 2651040.

The previous prime is 10089797. The next prime is 10089811. The reversal of 10089810 is 1898001.

It is a super-2 number, since 2×100898102 = 203608531672200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10089811) 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 23 ways as a sum of consecutive naturals, for example, 5601 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (554580).

Almost surely, 210089810 is an apocalyptic number.

10089810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309920).

10089810 is an abundant number, since it is smaller than the sum of its proper divisors (16530030).

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

10089810 is a wasteful number, since it uses less digits than its factorization.

10089810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10089810 is about 3176.4461273568. The cubic root of 10089810 is about 216.0865136983.

The spelling of 10089810 in words is "ten million, eighty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 1579 2130 3158 3195 4737 6390 7895 9474 14211 15790 23685 28422 47370 71055 112109 142110 224218 336327 560545 672654 1008981 1121090 1681635 2017962 3363270 5044905 10089810