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23130540 = 22325177559
BaseRepresentation
bin101100000111…
…1000110101100
31121112011010200
41120033012230
521410134130
62143433500
7400414656
oct130170654
947464120
1023130540
1112069354
1278b5890
134a3b314
1431016d6
15206d760
hex160f1ac

23130540 has 72 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 5804544.

The previous prime is 23130521. The next prime is 23130553. The reversal of 23130540 is 4503132.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 720 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 223130540 is an apocalyptic number.

23130540 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 23130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

23130540 is an abundant number, since it is smaller than the sum of its proper divisors (51169140).

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

23130540 is a wasteful number, since it uses less digits than its factorization.

23130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23130540 is about 4809.4220026943. The cubic root of 23130540 is about 284.9237099587.

Adding to 23130540 its reverse (4503132), we get a palindrome (27633672).

The spelling of 23130540 in words is "twenty-three million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7559 15118 22677 30236 37795 45354 68031 75590 90708 113385 128503 136062 151180 226770 257006 272124 340155 385509 453540 514012 642515 680310 771018 1156527 1285030 1360620 1542036 1927545 2313054 2570060 3855090 4626108 5782635 7710180 11565270 23130540