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23793920 = 28529641
BaseRepresentation
bin101101011000…
…1000100000000
31122202212010022
41122301010000
522042401140
62205553012
7406150013
oct132610400
948685108
1023793920
11124817a7
127b75768
134c11257
14323537a
1521500b5
hex16b1100

23793920 has 72 divisors (see below), whose sum is σ = 59051160. Its totient is φ = 9175040.

The previous prime is 23793907. The next prime is 23793961. The reversal of 23793920 is 2939732.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 16908544 = 2624^2 + 4112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36800 + ... + 37440.

It is an arithmetic number, because the mean of its divisors is an integer number (820155).

Almost surely, 223793920 is an apocalyptic number.

23793920 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 23793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29525580).

23793920 is an abundant number, since it is smaller than the sum of its proper divisors (35257240).

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

23793920 is an equidigital number, since it uses as much as digits as its factorization.

23793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 23793920 is about 4877.9011880111. The cubic root of 23793920 is about 287.6219318969.

The spelling of 23793920 in words is "twenty-three million, seven hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 641 928 1160 1280 1282 1856 2320 2564 3205 3712 4640 5128 6410 7424 9280 10256 12820 18560 18589 20512 25640 37120 37178 41024 51280 74356 82048 92945 102560 148712 164096 185890 205120 297424 371780 410240 594848 743560 820480 1189696 1487120 2379392 2974240 4758784 5948480 11896960 23793920