Search a number
-
+
21731868 = 2233316491
BaseRepresentation
bin101001011100…
…1101000011100
31111220002112000
41102321220130
521030404433
62053442300
7352501134
oct122715034
944802460
1021731868
11112a3524
127340390
13466b7c2
142c59ac4
151d94113
hex14b9a1c

21731868 has 48 divisors (see below), whose sum is σ = 58168320. Its totient is φ = 7009200.

The previous prime is 21731863. The next prime is 21731869. The reversal of 21731868 is 86813712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21731861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (1211840).

Almost surely, 221731868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21731868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29084160).

21731868 is an abundant number, since it is smaller than the sum of its proper divisors (36436452).

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

21731868 is a wasteful number, since it uses less digits than its factorization.

21731868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6527 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 21731868 is about 4661.7451667804. The cubic root of 21731868 is about 279.0609185973.

The spelling of 21731868 in words is "twenty-one million, seven hundred thirty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 6491 12982 19473 25964 38946 58419 77892 116838 175257 201221 233676 350514 402442 603663 701028 804884 1207326 1810989 2414652 3621978 5432967 7243956 10865934 21731868