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21320312 = 23131731389
BaseRepresentation
bin101000101010…
…1001001111000
31111010011222012
41101111021320
520424222222
62040545052
7346135226
oct121251170
944104865
1021320312
11110422a2
127182188
134556390
142b8db16
151d121e2
hex1455278

21320312 has 64 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 8939520.

The previous prime is 21320311. The next prime is 21320317. The reversal of 21320312 is 21302312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54614 + ... + 55002.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 221320312 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 21320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

21320312 is an abundant number, since it is smaller than the sum of its proper divisors (25854088).

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

21320312 is a wasteful number, since it uses less digits than its factorization.

21320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 21320312 is about 4617.3923376729. The cubic root of 21320312 is about 277.2880702039.

Adding to 21320312 its reverse (21302312), we get a palindrome (42622624).

The spelling of 21320312 in words is "twenty-one million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 389 403 442 527 778 806 884 1054 1556 1612 1768 2108 3112 3224 4216 5057 6613 6851 10114 12059 13226 13702 20228 24118 26452 27404 40456 48236 52904 54808 85969 96472 156767 171938 205003 313534 343876 410006 627068 687752 820012 1254136 1640024 2665039 5330078 10660156 21320312