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20399136 = 253375743
BaseRepresentation
bin100110111010…
…0010000100000
31102101101100120
41031310100200
520210233021
62005120240
7335250462
oct115642040
942341316
1020399136
111057319a
1269b9080
1342c2cc4
1429d0132
151bce2c6
hex1374420

20399136 has 48 divisors (see below), whose sum is σ = 55004544. Its totient is φ = 6614784.

The previous prime is 20399129. The next prime is 20399177. The reversal of 20399136 is 63199302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×203991362 = 832249499092992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20399097 and 20399106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (1145928).

Almost surely, 220399136 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 20399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27502272).

20399136 is an abundant number, since it is smaller than the sum of its proper divisors (34605408).

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

20399136 is a wasteful number, since it uses less digits than its factorization.

20399136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 20399136 is about 4516.5402688341. The cubic root of 20399136 is about 273.2355840570.

It can be divided in two parts, 2039 and 9136, that added together give a triangular number (11175 = T149).

The spelling of 20399136 in words is "twenty million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5743 11486 17229 22972 34458 45944 68916 91888 137832 183776 212491 275664 424982 551328 637473 849964 1274946 1699928 2549892 3399856 5099784 6799712 10199568 20399136