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20405304 = 2333175557
BaseRepresentation
bin100110111010…
…1110000111000
31102101200211000
41031311300320
520210432204
62005205000
7335304453
oct115656070
942350730
1020405304
1110577897
126a00760
1342c5a5a
1429d249a
151bd1039
hex1375c38

20405304 has 64 divisors (see below), whose sum is σ = 60026400. Its totient is φ = 6400512.

The previous prime is 20405303. The next prime is 20405309. The reversal of 20405304 is 40350402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20405303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894 + ... + 6450.

Almost surely, 220405304 is an apocalyptic number.

20405304 is a gapful number since it is divisible by the number (24) 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 20405304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30013200).

20405304 is an abundant number, since it is smaller than the sum of its proper divisors (39621096).

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

20405304 is a wasteful number, since it uses less digits than its factorization.

20405304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20405304 is about 4517.2230407630. The cubic root of 20405304 is about 273.2631203090.

Adding to 20405304 its reverse (40350402), we get a palindrome (60755706).

The spelling of 20405304 in words is "twenty million, four hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5557 11114 16671 22228 33342 44456 50013 66684 94469 100026 133368 150039 188938 200052 283407 300078 377876 400104 566814 600156 755752 850221 1133628 1200312 1700442 2267256 2550663 3400884 5101326 6801768 10202652 20405304