Search a number
-
+
23024360 = 2353747331
BaseRepresentation
bin101011111010…
…1001011101000
31121022202111002
41113311023220
521343234420
62141254132
7366463262
oct127651350
947282432
1023024360
1111aa65a7
127864348
134a01ba8
1430b4b32
15204c075
hex15f52e8

23024360 has 64 divisors (see below), whose sum is σ = 54501120. Its totient is φ = 8743680.

The previous prime is 23024327. The next prime is 23024363. The reversal of 23024360 is 6342032.

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

It is not an unprimeable number, because it can be changed into a prime (23024363) 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, 69395 + ... + 69725.

It is an arithmetic number, because the mean of its divisors is an integer number (851580).

Almost surely, 223024360 is an apocalyptic number.

23024360 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 23024360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250560).

23024360 is an abundant number, since it is smaller than the sum of its proper divisors (31476760).

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

23024360 is a wasteful number, since it uses less digits than its factorization.

23024360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

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

The square root of 23024360 is about 4798.3705567620. The cubic root of 23024360 is about 284.4870634292.

Adding to 23024360 its reverse (6342032), we get a palindrome (29366392).

The spelling of 23024360 in words is "twenty-three million, twenty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 331 370 376 470 662 740 940 1324 1480 1655 1739 1880 2648 3310 3478 6620 6956 8695 12247 13240 13912 15557 17390 24494 31114 34780 48988 61235 62228 69560 77785 97976 122470 124456 155570 244940 311140 489880 575609 622280 1151218 2302436 2878045 4604872 5756090 11512180 23024360