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21930324 = 22313257547
BaseRepresentation
bin101001110101…
…0000101010100
31112021011202020
41103222011110
521103232244
62102013140
7354255543
oct123520524
945234666
1021930324
1111419639
1274171b0
13470ac30
142cac15a
151dd2d19
hex14ea154

21930324 has 48 divisors (see below), whose sum is σ = 55422528. Its totient is φ = 6709248.

The previous prime is 21930283. The next prime is 21930329. The reversal of 21930324 is 42303912.

It is a super-2 number, since 2×219303242 = 961878221489952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21930294 and 21930303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21930329) 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, 39819 + ... + 40365.

It is an arithmetic number, because the mean of its divisors is an integer number (1154636).

Almost surely, 221930324 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 21930324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27711264).

21930324 is an abundant number, since it is smaller than the sum of its proper divisors (33492204).

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

21930324 is a wasteful number, since it uses less digits than its factorization.

21930324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 21930324 is about 4682.9823830546. The cubic root of 21930324 is about 279.9078097857.

The spelling of 21930324 in words is "twenty-one million, nine hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 257 514 547 771 1028 1094 1542 1641 2188 3084 3282 3341 6564 6682 7111 10023 13364 14222 20046 21333 28444 40092 42666 85332 140579 281158 421737 562316 843474 1686948 1827527 3655054 5482581 7310108 10965162 21930324