Search a number
-
+
23013504 = 27336659
BaseRepresentation
bin101011111001…
…0100010000000
31121022012121000
41113302202000
521342413004
62141132000
7366416523
oct127624200
947265530
1023013504
1111a99428
12785a000
1349c9c77
1430b0bba
152048c39
hex15f2880

23013504 has 64 divisors (see below), whose sum is σ = 67932000. Its totient is φ = 7670016.

The previous prime is 23013491. The next prime is 23013509. The reversal of 23013504 is 40531032.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (23013509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 6785.

Almost surely, 223013504 is an apocalyptic number.

23013504 is a gapful number since it is divisible by the number (24) 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 23013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966000).

23013504 is an abundant number, since it is smaller than the sum of its proper divisors (44918496).

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

23013504 is an equidigital number, since it uses as much as digits as its factorization.

23013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6664 counting only the distinct ones).

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

The square root of 23013504 is about 4797.2392060434. The cubic root of 23013504 is about 284.4423444579.

Adding to 23013504 its reverse (40531032), we get a palindrome (63544536).

The spelling of 23013504 in words is "twenty-three million, thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6659 13318 19977 26636 39954 53272 59931 79908 106544 119862 159816 179793 213088 239724 319632 359586 426176 479448 639264 719172 852352 958896 1278528 1438344 1917792 2557056 2876688 3835584 5753376 7671168 11506752 23013504