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20310312 = 23311107719
BaseRepresentation
bin100110101111…
…0100100101000
31102012212111210
41031132210220
520144412222
62003153120
7334430511
oct115364450
942185453
1020310312
1110512490
1269757a0
134291749
1429a9a08
151bb2d0c
hex135e928

20310312 has 64 divisors (see below), whose sum is σ = 55987200. Its totient is φ = 6088640.

The previous prime is 20310287. The next prime is 20310317. The reversal of 20310312 is 21301302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20310317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27889 + ... + 28607.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 220310312 is an apocalyptic number.

20310312 is a gapful number since it is divisible by the number (22) 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 20310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993600).

20310312 is an abundant number, since it is smaller than the sum of its proper divisors (35676888).

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

20310312 is a wasteful number, since it uses less digits than its factorization.

20310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20310312 is about 4506.6963509871. The cubic root of 20310312 is about 272.8384236232.

Adding to 20310312 its reverse (21301302), we get a palindrome (41611614).

The spelling of 20310312 in words is "twenty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 428 642 719 856 1177 1284 1438 2157 2354 2568 2876 3531 4314 4708 5752 7062 7909 8628 9416 14124 15818 17256 23727 28248 31636 47454 63272 76933 94908 153866 189816 230799 307732 461598 615464 846263 923196 1692526 1846392 2538789 3385052 5077578 6770104 10155156 20310312