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23013630 = 2325376911
BaseRepresentation
bin101011111001…
…0100011111110
31121022012202200
41113302203332
521342414010
62141132330
7366420063
oct127624376
947265680
1023013630
1111a99532
12785a0a6
1349ca043
1430b0c6a
152048cc0
hex15f28fe

23013630 has 48 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 5970240.

The previous prime is 23013611. The next prime is 23013637. The reversal of 23013630 is 3631032.

It is a happy number.

23013630 is a `hidden beast` number, since 2 + 30 + 1 + 3 + 630 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (1280448).

Almost surely, 223013630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730752).

23013630 is an abundant number, since it is smaller than the sum of its proper divisors (38447874).

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

23013630 is a wasteful number, since it uses less digits than its factorization.

23013630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 23013630 is about 4797.2523385788. The cubic root of 23013630 is about 284.4428635686.

Adding to 23013630 its reverse (3631032), we get a palindrome (26644662).

The spelling of 23013630 in words is "twenty-three million, thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 6911 13822 20733 34555 41466 62199 69110 103665 124398 207330 255707 310995 511414 621990 767121 1278535 1534242 2301363 2557070 3835605 4602726 7671210 11506815 23013630