Search a number
-
+
23791400 = 2352472531
BaseRepresentation
bin101101011000…
…0011100101000
31122202201122222
41122300130220
522042311100
62205533212
7406136453
oct132603450
948681588
1023791400
111247a916
127b74208
134c10069
14323449a
15214e485
hex16b0728

23791400 has 48 divisors (see below), whose sum is σ = 56514240. Its totient is φ = 9310400.

The previous prime is 23791399. The next prime is 23791423. The reversal of 23791400 is 419732.

It is a self number, because there is not a number n which added to its sum of digits gives 23791400.

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, 8135 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (1177380).

Almost surely, 223791400 is an apocalyptic number.

23791400 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 23791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28257120).

23791400 is an abundant number, since it is smaller than the sum of its proper divisors (32722840).

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

23791400 is a wasteful number, since it uses less digits than its factorization.

23791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 23791400 is about 4877.6428733559. The cubic root of 23791400 is about 287.6117775822.

The spelling of 23791400 in words is "twenty-three million, seven hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 2531 4700 5062 9400 10124 12655 20248 25310 50620 63275 101240 118957 126550 237914 253100 475828 506200 594785 951656 1189570 2379140 2973925 4758280 5947850 11895700 23791400