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20408704 = 271783113
BaseRepresentation
bin100110111011…
…0100110000000
31102101212110221
41031312212000
520211034304
62005232424
7335320411
oct115664600
942355427
1020408704
111057a3a8
126a02714
1342c7474
1429d3808
151bd2054
hex1376980

20408704 has 64 divisors (see below), whose sum is σ = 43953840. Its totient is φ = 9404416.

The previous prime is 20408701. The next prime is 20408711. The reversal of 20408704 is 40780402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20408701) 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 7 ways as a sum of consecutive naturals, for example, 180552 + ... + 180664.

Almost surely, 220408704 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 20408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920).

20408704 is an abundant number, since it is smaller than the sum of its proper divisors (23545136).

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

20408704 is a wasteful number, since it uses less digits than its factorization.

20408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 20408704 is about 4517.5993624933. The cubic root of 20408704 is about 273.2782968045.

It can be divided in two parts, 20408 and 704, that added together give a palindrome (21112).

The spelling of 20408704 in words is "twenty million, four hundred eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 113 128 136 166 226 272 332 452 544 664 904 1088 1328 1411 1808 1921 2176 2656 2822 3616 3842 5312 5644 7232 7684 9379 10624 11288 14464 15368 18758 22576 30736 37516 45152 61472 75032 90304 122944 150064 159443 180608 245888 300128 318886 600256 637772 1200512 1275544 2551088 5102176 10204352 20408704