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20691504 = 2433211227
BaseRepresentation
bin100111011101…
…1101000110000
31102221020102000
41032323220300
520244112004
62015254000
7340606041
oct116735060
942836360
1020691504
1110752919
126b1a300
1343960c2
142a688c8
151c3ac39
hex13bba30

20691504 has 80 divisors (see below), whose sum is σ = 59936640. Its totient is φ = 6834240.

The previous prime is 20691497. The next prime is 20691509. The reversal of 20691504 is 40519602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20691509) 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, 91039 + ... + 91265.

It is an arithmetic number, because the mean of its divisors is an integer number (749208).

Almost surely, 220691504 is an apocalyptic number.

20691504 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 20691504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968320).

20691504 is an abundant number, since it is smaller than the sum of its proper divisors (39245136).

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

20691504 is a wasteful number, since it uses less digits than its factorization.

20691504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20691504 is about 4548.7914878570. The cubic root of 20691504 is about 274.5347682080.

The spelling of 20691504 in words is "twenty million, six hundred ninety-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 227 422 432 454 633 681 844 908 1266 1362 1688 1816 1899 2043 2532 2724 3376 3632 3798 4086 5064 5448 5697 6129 7596 8172 10128 10896 11394 12258 15192 16344 22788 24516 30384 32688 45576 47897 49032 91152 95794 98064 143691 191588 287382 383176 431073 574764 766352 862146 1149528 1293219 1724292 2299056 2586438 3448584 5172876 6897168 10345752 20691504