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20313306 = 23213471847
BaseRepresentation
bin100110101111…
…1010011011010
31102020000121200
41031133103122
520200011211
62003215030
7334442316
oct115372332
942200550
1020313306
1110514762
126977476
134292c10
1429aab46
151bb3b56
hex135f4da

20313306 has 48 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 6113952.

The previous prime is 20313281. The next prime is 20313343. The reversal of 20313306 is 60331302.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10075 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 220313306 is an apocalyptic number.

20313306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

20313306 is an abundant number, since it is smaller than the sum of its proper divisors (28119078).

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

20313306 is a wasteful number, since it uses less digits than its factorization.

20313306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 20313306 is about 4507.0285111146. The cubic root of 20313306 is about 272.8518295900.

Adding to 20313306 its reverse (60331302), we get a palindrome (80644608).

The spelling of 20313306 in words is "twenty million, three hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 1847 3666 3694 5499 5541 10998 11082 16623 24011 33246 48022 72033 86809 144066 173618 216099 260427 432198 520854 781281 1128517 1562562 2257034 3385551 6771102 10156653 20313306