Search a number
-
+
21540320 = 255612207
BaseRepresentation
bin101001000101…
…0110111100000
31111112100202122
41102022313200
521003242240
62045403412
7351042524
oct122126740
944470678
1021540320
111118261a
127269568
134602569
142c09d84
151d574b5
hex148ade0

21540320 has 48 divisors (see below), whose sum is σ = 51746688. Its totient is φ = 8471040.

The previous prime is 21540317. The next prime is 21540341. The reversal of 21540320 is 2304512.

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 7 ways as a sum of consecutive naturals, for example, 8657 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056).

Almost surely, 221540320 is an apocalyptic number.

21540320 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 21540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873344).

21540320 is an abundant number, since it is smaller than the sum of its proper divisors (30206368).

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

21540320 is a wasteful number, since it uses less digits than its factorization.

21540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21540320 is about 4641.1550286540. The cubic root of 21540320 is about 278.2386026679.

Adding to 21540320 its reverse (2304512), we get a palindrome (23844832).

The spelling of 21540320 in words is "twenty-one million, five hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2207 2440 4414 4880 8828 9760 11035 17656 22070 35312 44140 70624 88280 134627 176560 269254 353120 538508 673135 1077016 1346270 2154032 2692540 4308064 5385080 10770160 21540320