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10089888 = 253611723
BaseRepresentation
bin100110011111…
…010110100000
3200222121201120
4212133112200
510040334023
61000132240
7151522404
oct46372640
920877646
1010089888
115771756
123467080
132123763
1414a9104
15d448e3
hex99f5a0

10089888 has 48 divisors (see below), whose sum is σ = 26935776. Its totient is φ = 3306240.

The previous prime is 10089887. The next prime is 10089889. The reversal of 10089888 is 88898001.

It is a happy number.

10089888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10089887) and next prime (10089889).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10089887) 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, 4995 + ... + 6717.

It is an arithmetic number, because the mean of its divisors is an integer number (561162).

Almost surely, 210089888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467888).

10089888 is an abundant number, since it is smaller than the sum of its proper divisors (16845888).

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

10089888 is a wasteful number, since it uses less digits than its factorization.

10089888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 10089888 is about 3176.4584052054. The cubic root of 10089888 is about 216.0870705209.

The spelling of 10089888 in words is "ten million, eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1723 1952 2928 3446 5169 5856 6892 10338 13784 20676 27568 41352 55136 82704 105103 165408 210206 315309 420412 630618 840824 1261236 1681648 2522472 3363296 5044944 10089888