Search a number
-
+
21538720 = 255719231
BaseRepresentation
bin101001000101…
…0011110100000
31111112021120101
41102022132200
521003214340
62045352144
7351035050
oct122123640
944467511
1021538720
11111813a5
127268654
134601908
142c09560
151d56c9a
hex148a7a0

21538720 has 48 divisors (see below), whose sum is σ = 58157568. Its totient is φ = 7384320.

The previous prime is 21538703. The next prime is 21538721. The reversal of 21538720 is 2783512.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21538721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8496 + ... + 10735.

It is an arithmetic number, because the mean of its divisors is an integer number (1211616).

Almost surely, 221538720 is an apocalyptic number.

21538720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21538720 is an abundant number, since it is smaller than the sum of its proper divisors (36618848).

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

21538720 is a wasteful number, since it uses less digits than its factorization.

21538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19253 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 21538720 is about 4640.9826545679. The cubic root of 21538720 is about 278.2317133740.

The spelling of 21538720 in words is "twenty-one million, five hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 19231 38462 76924 96155 134617 153848 192310 269234 307696 384620 538468 615392 673085 769240 1076936 1346170 1538480 2153872 2692340 3076960 4307744 5384680 10769360 21538720