Search a number
-
+
23130120 = 23351314827
BaseRepresentation
bin101100000111…
…1000000001000
31121112010120010
41120033000020
521410130440
62143431520
7400413516
oct130170010
947463503
1023130120
1112069002
1278b55a0
134a3b080
1431014b6
15206d580
hex160f008

23130120 has 64 divisors (see below), whose sum is σ = 74733120. Its totient is φ = 5693184.

The previous prime is 23130113. The next prime is 23130131. The reversal of 23130120 is 2103132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23130096 and 23130105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (1167705).

Almost surely, 223130120 is an apocalyptic number.

23130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23130120 is an abundant number, since it is smaller than the sum of its proper divisors (51603000).

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

23130120 is a wasteful number, since it uses less digits than its factorization.

23130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14854 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23130120 is about 4809.3783382055. The cubic root of 23130120 is about 284.9219854179.

Adding to 23130120 its reverse (2103132), we get a palindrome (25233252).

The spelling of 23130120 in words is "twenty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 14827 29654 44481 59308 74135 88962 118616 148270 177924 192751 222405 296540 355848 385502 444810 578253 593080 771004 889620 963755 1156506 1542008 1779240 1927510 2313012 2891265 3855020 4626024 5782530 7710040 11565060 23130120