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23468580 = 22325241541
BaseRepresentation
bin101100110000…
…1101000100100
31122011022211200
41121201220210
522001443310
62155002500
7403323342
oct131415044
948138750
1023468580
111227a323
127a39430
134b29145
14318c992
1520d89c0
hex1661a24

23468580 has 72 divisors (see below), whose sum is σ = 71615544. Its totient is φ = 6220800.

The previous prime is 23468573. The next prime is 23468593. The reversal of 23468580 is 8586432.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 19873764 = 1896^2 + 4458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43110 + ... + 43650.

Almost surely, 223468580 is an apocalyptic number.

23468580 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 23468580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35807772).

23468580 is an abundant number, since it is smaller than the sum of its proper divisors (48146964).

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

23468580 is a wasteful number, since it uses less digits than its factorization.

23468580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 23468580 is about 4844.4380479061. The cubic root of 23468580 is about 286.3050033190.

The spelling of 23468580 in words is "twenty-three million, four hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 541 723 964 1082 1205 1446 1623 2164 2169 2410 2705 2892 3246 3615 4338 4820 4869 5410 6492 7230 8115 8676 9738 10820 10845 14460 16230 19476 21690 24345 32460 43380 48690 97380 130381 260762 391143 521524 651905 782286 1173429 1303810 1564572 1955715 2346858 2607620 3911430 4693716 5867145 7822860 11734290 23468580