Search a number
-
+
21320112 = 24311149271
BaseRepresentation
bin101000101010…
…1000110110000
31111010011200210
41101111012300
520424220422
62040544120
7346134522
oct121250660
944104623
1021320112
1111042130
127182040
134556268
142b8da12
151d1210c
hex14551b0

21320112 has 80 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 6393600.

The previous prime is 21320107. The next prime is 21320183. The reversal of 21320112 is 21102312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 78537 + ... + 78807.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 221320112 is an apocalyptic number.

21320112 is a gapful number since it is divisible by the number (22) 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 21320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

21320112 is an abundant number, since it is smaller than the sum of its proper divisors (39390288).

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

21320112 is a wasteful number, since it uses less digits than its factorization.

21320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21320112 is about 4617.3706803764. The cubic root of 21320112 is about 277.2872031467.

Adding to 21320112 its reverse (21102312), we get a palindrome (42422424).

The spelling of 21320112 in words is "twenty-one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 271 298 447 528 542 596 813 894 1084 1192 1626 1639 1788 2168 2384 2981 3252 3278 3576 4336 4917 5962 6504 6556 7152 8943 9834 11924 13008 13112 17886 19668 23848 26224 35772 39336 40379 47696 71544 78672 80758 121137 143088 161516 242274 323032 444169 484548 646064 888338 969096 1332507 1776676 1938192 2665014 3553352 5330028 7106704 10660056 21320112