Search a number
-
+
23797920 = 2535431153
BaseRepresentation
bin101101011001…
…0000010100000
31122210001121110
41122302002200
522043013140
62210023320
7406164456
oct132620240
948701543
1023797920
1112484803
127b77b40
134c13013
1432369d6
152151380
hex16b20a0

23797920 has 96 divisors (see below), whose sum is σ = 76773312. Its totient is φ = 6193152.

The previous prime is 23797897. The next prime is 23797957. The reversal of 23797920 is 2979732.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20064 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (799722).

Almost surely, 223797920 is an apocalyptic number.

23797920 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 23797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386656).

23797920 is an abundant number, since it is smaller than the sum of its proper divisors (52975392).

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

23797920 is a wasteful number, since it uses less digits than its factorization.

23797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 23797920 is about 4878.3111831862. The cubic root of 23797920 is about 287.6380483847.

The spelling of 23797920 in words is "twenty-three million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1153 1290 1376 1720 2064 2306 2580 3440 3459 4128 4612 5160 5765 6880 6918 9224 10320 11530 13836 17295 18448 20640 23060 27672 34590 36896 46120 49579 55344 69180 92240 99158 110688 138360 148737 184480 198316 247895 276720 297474 396632 495790 553440 594948 743685 793264 991580 1189896 1487370 1586528 1983160 2379792 2974740 3966320 4759584 5949480 7932640 11898960 23797920