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23460320 = 2551311279
BaseRepresentation
bin101100101111…
…1100111100000
31122010220111202
41121133213200
522001212240
62154500332
7403260302
oct131374740
948126452
1023460320
11122740a4
127a346a8
134b25460
143189972
1520d6315
hex165f9e0

23460320 has 48 divisors (see below), whose sum is σ = 59693760. Its totient is φ = 8661504.

The previous prime is 23460313. The next prime is 23460337. The reversal of 23460320 is 2306432.

It is a super-2 number, since 2×234603202 = 1100773229004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23460292 and 23460301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3560 + ... + 7719.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 223460320 is an apocalyptic number.

23460320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23460320 is an abundant number, since it is smaller than the sum of its proper divisors (36233440).

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

23460320 is a wasteful number, since it uses less digits than its factorization.

23460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 23460320 is about 4843.5854488178. The cubic root of 23460320 is about 286.2714100803.

Adding to 23460320 its reverse (2306432), we get a palindrome (25766752).

The spelling of 23460320 in words is "twenty-three million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 11279 22558 45116 56395 90232 112790 146627 180464 225580 293254 360928 451160 586508 733135 902320 1173016 1466270 1804640 2346032 2932540 4692064 5865080 11730160 23460320