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23040800 = 255283347
BaseRepresentation
bin101011111100…
…1001100100000
31121100121000222
41113321030200
521344301200
62141502212
7366562226
oct127711440
947317028
1023040800
1112007992
127871968
134a09513
1430bab16
152051d85
hex15f9320

23040800 has 72 divisors (see below), whose sum is σ = 57090096. Its totient is φ = 9079040.

The previous prime is 23040767. The next prime is 23040803. The reversal of 23040800 is 804032.

It is not an unprimeable number, because it can be changed into a prime (23040803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66227 + ... + 66573.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 223040800 is an apocalyptic number.

23040800 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 23040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545048).

23040800 is an abundant number, since it is smaller than the sum of its proper divisors (34049296).

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

23040800 is a wasteful number, since it uses less digits than its factorization.

23040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 23040800 is about 4800.0833326100. The cubic root of 23040800 is about 284.5547577408.

Adding to 23040800 its reverse (804032), we get a palindrome (23844832).

The spelling of 23040800 in words is "twenty-three million, forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 347 400 415 664 694 800 830 1328 1388 1660 1735 2075 2656 2776 3320 3470 4150 5552 6640 6940 8300 8675 11104 13280 13880 16600 17350 27760 28801 33200 34700 55520 57602 66400 69400 115204 138800 144005 230408 277600 288010 460816 576020 720025 921632 1152040 1440050 2304080 2880100 4608160 5760200 11520400 23040800