Search a number
-
+
23258880 = 28335673
BaseRepresentation
bin101100010111…
…0011100000000
31121202200012000
41120232130000
521423241010
62150304000
7401461101
oct130563400
947680160
1023258880
1112146817
127958000
134a84868
1431363a8
1520967c0
hex162e700

23258880 has 144 divisors (see below), whose sum is σ = 82659360. Its totient is φ = 6193152.

The previous prime is 23258867. The next prime is 23258887. The reversal of 23258880 is 8885232.

It is a tau number, because it is divible by the number of its divisors (144).

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 (23258887) 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, 34224 + ... + 34896.

Almost surely, 223258880 is an apocalyptic number.

23258880 is a gapful number since it is divisible by the number (20) 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 23258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41329680).

23258880 is an abundant number, since it is smaller than the sum of its proper divisors (59400480).

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

23258880 is an equidigital number, since it uses as much as digits as its factorization.

23258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 23258880 is about 4822.7461056954. The cubic root of 23258880 is about 285.4497055425.

The spelling of 23258880 in words is "twenty-three million, two hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 673 720 768 864 960 1080 1152 1280 1346 1440 1728 1920 2019 2160 2304 2692 2880 3365 3456 3840 4038 4320 5384 5760 6057 6730 6912 8076 8640 10095 10768 11520 12114 13460 16152 17280 18171 20190 21536 24228 26920 30285 32304 34560 36342 40380 43072 48456 53840 60570 64608 72684 80760 86144 90855 96912 107680 121140 129216 145368 161520 172288 181710 193824 215360 242280 258432 290736 323040 363420 387648 430720 484560 516864 581472 646080 726840 775296 861440 969120 1162944 1292160 1453680 1550592 1938240 2325888 2584320 2907360 3876480 4651776 5814720 7752960 11629440 23258880