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20504064 = 29371907
BaseRepresentation
bin100111000110…
…1111000000000
31102120201021210
41032031320000
520222112224
62011250120
7336165420
oct116157000
942521253
1020504064
1110635009
126a49940
13432b9a9
142a1a480
151c00429
hex138de00

20504064 has 80 divisors (see below), whose sum is σ = 62460288. Its totient is φ = 5855232.

The previous prime is 20504053. The next prime is 20504101. The reversal of 20504064 is 46040502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20504064.

It is a congruent number.

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, 9799 + ... + 11705.

Almost surely, 220504064 is an apocalyptic number.

20504064 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 20504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31230144).

20504064 is an abundant number, since it is smaller than the sum of its proper divisors (41956224).

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

20504064 is an equidigital number, since it uses as much as digits as its factorization.

20504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20504064 is about 4528.1413405502. The cubic root of 20504064 is about 273.7032680179.

Adding to 20504064 its reverse (46040502), we get a palindrome (66544566).

The spelling of 20504064 in words is "twenty million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 1907 2688 3584 3814 5376 5721 7628 10752 11442 13349 15256 22884 26698 30512 40047 45768 53396 61024 80094 91536 106792 122048 160188 183072 213584 244096 320376 366144 427168 488192 640752 732288 854336 976384 1281504 1464576 1708672 2563008 2929152 3417344 5126016 6834688 10252032 20504064