Search a number
-
+
23468600 = 2352271433
BaseRepresentation
bin101100110000…
…1101000111000
31122011022212102
41121201220320
522001443400
62155002532
7403323401
oct131415070
948138772
1023468600
111227a341
127a39448
134b2915c
14318c9a8
1520d89d5
hex1661a38

23468600 has 48 divisors (see below), whose sum is σ = 54892320. Its totient is φ = 9331200.

The previous prime is 23468593. The next prime is 23468611. The reversal of 23468600 is 686432.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53984 + ... + 54416.

It is an arithmetic number, because the mean of its divisors is an integer number (1143590).

Almost surely, 223468600 is an apocalyptic number.

23468600 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 23468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446160).

23468600 is an abundant number, since it is smaller than the sum of its proper divisors (31423720).

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

23468600 is a wasteful number, since it uses less digits than its factorization.

23468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 23468600 is about 4844.4401121285. The cubic root of 23468600 is about 286.3050846490.

The spelling of 23468600 in words is "twenty-three million, four hundred sixty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 433 542 866 1084 1355 1732 2165 2168 2710 3464 4330 5420 6775 8660 10825 10840 13550 17320 21650 27100 43300 54200 86600 117343 234686 469372 586715 938744 1173430 2346860 2933575 4693720 5867150 11734300 23468600