Search a number
-
+
23913684 = 22331791237
BaseRepresentation
bin101101100111…
…0010011010100
31122222221102000
41123032103110
522110214214
62212315300
7410156124
oct133162324
948887360
1023913684
1112553783
128012b30
134c53912
143266c84
152175809
hex16ce4d4

23913684 has 48 divisors (see below), whose sum is σ = 62395200. Its totient is φ = 7920288.

The previous prime is 23913683. The next prime is 23913689. The reversal of 23913684 is 48631932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23913683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18714 + ... + 19950.

It is an arithmetic number, because the mean of its divisors is an integer number (1299900).

Almost surely, 223913684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23913684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31197600).

23913684 is an abundant number, since it is smaller than the sum of its proper divisors (38481516).

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

23913684 is a wasteful number, since it uses less digits than its factorization.

23913684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23913684 is about 4890.1619605081. The cubic root of 23913684 is about 288.1036952986.

The spelling of 23913684 in words is "twenty-three million, nine hundred thirteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1237 1611 2148 2474 3222 3711 4833 4948 6444 7422 9666 11133 14844 19332 22266 33399 44532 66798 133596 221423 442846 664269 885692 1328538 1992807 2657076 3985614 5978421 7971228 11956842 23913684