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20331324 = 2235131609
BaseRepresentation
bin100110110001…
…1101100111100
31102020221100000
41031203230330
520201100244
62003434300
7334545666
oct115435474
942227300
1020331324
1110527252
126985990
13429b190
1429b3536
151bb9169
hex1363b3c

20331324 has 72 divisors (see below), whose sum is σ = 57431920. Its totient is φ = 6251904.

The previous prime is 20331323. The next prime is 20331329. The reversal of 20331324 is 42313302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20331297 and 20331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11832 + ... + 13440.

Almost surely, 220331324 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 20331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28715960).

20331324 is an abundant number, since it is smaller than the sum of its proper divisors (37100596).

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

20331324 is a wasteful number, since it uses less digits than its factorization.

20331324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20331324 is about 4509.0269460273. The cubic root of 20331324 is about 272.9324793770.

Adding to 20331324 its reverse (42313302), we get a palindrome (62644626).

It can be divided in two parts, 2033132 and 4, that added together give a triangular number (2033136 = T2016).

The spelling of 20331324 in words is "twenty million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 1609 2106 3159 3218 4212 4827 6318 6436 9654 12636 14481 19308 20917 28962 41834 43443 57924 62751 83668 86886 125502 130329 173772 188253 251004 260658 376506 390987 521316 564759 753012 781974 1129518 1563948 1694277 2259036 3388554 5082831 6777108 10165662 20331324