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20214324 = 22321347919
BaseRepresentation
bin100110100011…
…1001000110100
31102000222211200
41031013020310
520133324244
62001132500
7333550614
oct115071064
942028750
1020214324
1110457359
12692a130
134259b50
142982a44
151b94669
hex1347234

20214324 has 72 divisors (see below), whose sum is σ = 56259840. Its totient is φ = 6080832.

The previous prime is 20214323. The next prime is 20214329. The reversal of 20214324 is 42341202.

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 = 20214297 and 20214306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214323) 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 23 ways as a sum of consecutive naturals, for example, 21537 + ... + 22455.

Almost surely, 220214324 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 20214324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28129920).

20214324 is an abundant number, since it is smaller than the sum of its proper divisors (36045516).

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

20214324 is a wasteful number, since it uses less digits than its factorization.

20214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20214324 is about 4496.0342525386. The cubic root of 20214324 is about 272.4079266972.

Adding to 20214324 its reverse (42341202), we get a palindrome (62555526).

The spelling of 20214324 in words is "twenty million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 919 1222 1692 1833 1838 2444 2757 3666 3676 5499 5514 7332 8271 10998 11028 11947 16542 21996 23894 33084 35841 43193 47788 71682 86386 107523 129579 143364 172772 215046 259158 388737 430092 518316 561509 777474 1123018 1554948 1684527 2246036 3369054 5053581 6738108 10107162 20214324