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20314300 = 2252316553
BaseRepresentation
bin100110101111…
…1100010111100
31102020001222111
41031133202330
520200024200
62003223404
7334445236
oct115374274
942201874
1020314300
1110515486
126977b64
1342934c6
1429ab256
151bb40ba
hex135f8bc

20314300 has 36 divisors (see below), whose sum is σ = 45510976. Its totient is φ = 7862400.

The previous prime is 20314289. The next prime is 20314319. The reversal of 20314300 is 341302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 6376.

Almost surely, 220314300 is an apocalyptic number.

20314300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22755488).

20314300 is an abundant number, since it is smaller than the sum of its proper divisors (25196676).

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

20314300 is a wasteful number, since it uses less digits than its factorization.

20314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20314300 is about 4507.1387819769. The cubic root of 20314300 is about 272.8562800439.

Adding to 20314300 its reverse (341302), we get a palindrome (20655602).

The spelling of 20314300 in words is "twenty million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 6553 13106 26212 32765 65530 131060 163825 203143 327650 406286 655300 812572 1015715 2031430 4062860 5078575 10157150 20314300