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23641020 = 223251310103
BaseRepresentation
bin101101000101…
…1101110111100
31122111002101100
41122023232330
522023003040
62202413100
7404642154
oct132135674
948432340
1023641020
1112387937
127b01190
134b89790
1431d5764
15211eb30
hex168bbbc

23641020 has 72 divisors (see below), whose sum is σ = 77234976. Its totient is φ = 5818752.

The previous prime is 23641019. The next prime is 23641027. The reversal of 23641020 is 2014632.

It is a happy number.

23641020 is a `hidden beast` number, since 2 + 3 + 641 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 23640984 and 23641002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23641027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2712 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (1072708).

Almost surely, 223641020 is an apocalyptic number.

23641020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23641020 is an abundant number, since it is smaller than the sum of its proper divisors (53593956).

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

23641020 is a wasteful number, since it uses less digits than its factorization.

23641020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23641020 is about 4862.2032043097. The cubic root of 23641020 is about 287.0045202378.

Adding to 23641020 its reverse (2014632), we get a palindrome (25655652).

The spelling of 23641020 in words is "twenty-three million, six hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 10103 20206 30309 40412 50515 60618 90927 101030 121236 131339 151545 181854 202060 262678 303090 363708 394017 454635 525356 606180 656695 788034 909270 1182051 1313390 1576068 1818540 1970085 2364102 2626780 3940170 4728204 5910255 7880340 11820510 23641020