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23713152 = 273371669
BaseRepresentation
bin101101001110…
…1010110000000
31122121202022220
41122131112000
522032310102
62204131040
7405362361
oct132352600
948552286
1023713152
1112427051
127b36a80
134bb3568
143213b68
1521361bc
hex169d580

23713152 has 64 divisors (see below), whose sum is σ = 64729200. Its totient is φ = 7686144.

The previous prime is 23713111. The next prime is 23713153. The reversal of 23713152 is 25131732.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23713153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13374 + ... + 15042.

Almost surely, 223713152 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 23713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32364600).

23713152 is an abundant number, since it is smaller than the sum of its proper divisors (41016048).

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

23713152 is a wasteful number, since it uses less digits than its factorization.

23713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1711 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 23713152 is about 4869.6151798679. The cubic root of 23713152 is about 287.2961206084.

Adding to 23713152 its reverse (25131732), we get a palindrome (48844884).

The spelling of 23713152 in words is "twenty-three million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1669 1776 2368 3338 3552 4736 5007 6676 7104 10014 13352 14208 20028 26704 40056 53408 61753 80112 106816 123506 160224 185259 213632 247012 320448 370518 494024 640896 741036 988048 1482072 1976096 2964144 3952192 5928288 7904384 11856576 23713152