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23239920 = 2435118803
BaseRepresentation
bin101100010100…
…1110011110000
31121201201011210
41120221303300
521422134140
62150040120
7401351604
oct130516360
947651153
1023239920
1112133550
127949040
134a79042
14312d504
152090d80
hex1629cf0

23239920 has 80 divisors (see below), whose sum is σ = 78602112. Its totient is φ = 5633280.

The previous prime is 23239891. The next prime is 23239921. The reversal of 23239920 is 2993232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23239921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762 + ... + 7041.

Almost surely, 223239920 is an apocalyptic number.

23239920 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 23239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39301056).

23239920 is an abundant number, since it is smaller than the sum of its proper divisors (55362192).

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

23239920 is a wasteful number, since it uses less digits than its factorization.

23239920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23239920 is about 4820.7800198723. The cubic root of 23239920 is about 285.3721208710.

The spelling of 23239920 in words is "twenty-three million, two hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8803 17606 26409 35212 44015 52818 70424 88030 96833 105636 132045 140848 176060 193666 211272 264090 290499 352120 387332 422544 484165 528180 580998 704240 774664 968330 1056360 1161996 1452495 1549328 1936660 2112720 2323992 2904990 3873320 4647984 5809980 7746640 11619960 23239920