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21316032 = 2632231609
BaseRepresentation
bin101000101010…
…0000111000000
31111002222002200
41101110013000
520424103112
62040513200
7346116603
oct121240700
944088080
1021316032
111103a061
12717b800
13455444a
142b8c33a
151d10cdc
hex14541c0

21316032 has 84 divisors (see below), whose sum is σ = 63794640. Its totient is φ = 6792192.

The previous prime is 21316027. The next prime is 21316037. The reversal of 21316032 is 23061312.

It is an interprime number because it is at equal distance from previous prime (21316027) and next prime (21316037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 21315996 and 21316014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21316037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12444 + ... + 14052.

It is an arithmetic number, because the mean of its divisors is an integer number (759460).

Almost surely, 221316032 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 21316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31897320).

21316032 is an abundant number, since it is smaller than the sum of its proper divisors (42478608).

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

21316032 is a wasteful number, since it uses less digits than its factorization.

21316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 21316032 is about 4616.9288493543. The cubic root of 21316032 is about 277.2695139969.

Adding to 21316032 its reverse (23061312), we get a palindrome (44377344).

The spelling of 21316032 in words is "twenty-one million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1609 1656 2208 3218 3312 4416 4827 6436 6624 9654 12872 13248 14481 19308 25744 28962 37007 38616 51488 57924 74014 77232 102976 111021 115848 148028 154464 222042 231696 296056 308928 333063 444084 463392 592112 666126 888168 926784 1184224 1332252 1776336 2368448 2664504 3552672 5329008 7105344 10658016 21316032