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23079120 = 24352337113
BaseRepresentation
bin101100000001…
…0100011010000
31121102112121020
41120002203100
521402012440
62142355440
7400112031
oct130024320
947375536
1023079120
1112033759
12788bb80
134a20aac
1430caa88
15205d3d0
hex16028d0

23079120 has 160 divisors (see below), whose sum is σ = 77352192. Its totient is φ = 5677056.

The previous prime is 23079101. The next prime is 23079127. The reversal of 23079120 is 2197032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23079127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204184 + ... + 204296.

Almost surely, 223079120 is an apocalyptic number.

23079120 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 23079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38676096).

23079120 is an abundant number, since it is smaller than the sum of its proper divisors (54273072).

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

23079120 is a wasteful number, since it uses less digits than its factorization.

23079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 23079120 is about 4804.0732717143. The cubic root of 23079120 is about 284.7124215209.

The spelling of 23079120 in words is "twenty-three million, seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 80 92 111 113 115 120 138 148 184 185 222 226 230 240 276 296 339 345 368 370 444 452 460 552 555 565 592 678 690 740 851 888 904 920 1104 1110 1130 1356 1380 1480 1695 1702 1776 1808 1840 2220 2260 2553 2599 2712 2760 2960 3390 3404 4181 4255 4440 4520 5106 5198 5424 5520 6780 6808 7797 8362 8510 8880 9040 10212 10396 12543 12765 12995 13560 13616 15594 16724 17020 20424 20792 20905 25086 25530 25990 27120 31188 33448 34040 38985 40848 41584 41810 50172 51060 51980 62376 62715 66896 68080 77970 83620 96163 100344 102120 103960 124752 125430 155940 167240 192326 200688 204240 207920 250860 288489 311880 334480 384652 480815 501720 576978 623760 769304 961630 1003440 1153956 1442445 1538608 1923260 2307912 2884890 3846520 4615824 5769780 7693040 11539560 23079120