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10023414260 = 2252397722303
BaseRepresentation
bin10010101010111000…
…10010100111110100
3221212112211012110012
421111130102213310
5131011443224020
64334340315352
7503250421046
oct112534224764
927775735405
1010023414260
114283a57542
121b389a2b58
13c397c7972
146b12d9a96
153d9e857c5
hex2557129f4

10023414260 has 48 divisors (see below), whose sum is σ = 21987818496. Its totient is φ = 3830948352.

The previous prime is 10023414259. The next prime is 10023414281. The reversal of 10023414260 is 6241432001.

10023414260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438269 + ... + 460571.

It is an arithmetic number, because the mean of its divisors is an integer number (458079552).

Almost surely, 210023414260 is an apocalyptic number.

10023414260 is a gapful number since it is divisible by the number (10) 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 10023414260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993909248).

10023414260 is an abundant number, since it is smaller than the sum of its proper divisors (11964404236).

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

10023414260 is a wasteful number, since it uses less digits than its factorization.

10023414260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 23310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10023414260 its reverse (6241432001), we get a palindrome (16264846261).

The spelling of 10023414260 in words is "ten billion, twenty-three million, four hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 977 1954 3908 4885 9770 19540 22303 22471 44606 44942 89212 89884 111515 112355 223030 224710 446060 449420 512969 1025938 2051876 2564845 5129690 10259380 21790031 43580062 87160124 108950155 217900310 435800620 501170713 1002341426 2004682852 2505853565 5011707130 10023414260