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20635104 = 253730707
BaseRepresentation
bin100111010110…
…1110111100000
31102211101001010
41032231313200
520240310404
62014140520
7340252440
oct116556740
942741033
1020635104
1110714506
126ab1740
134376529
142a52120
151c29189
hex13adde0

20635104 has 48 divisors (see below), whose sum is σ = 61907328. Its totient is φ = 5895552.

The previous prime is 20635103. The next prime is 20635169. The reversal of 20635104 is 40153602.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20635103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14682 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (1289736).

Almost surely, 220635104 is an apocalyptic number.

20635104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20635104 is an abundant number, since it is smaller than the sum of its proper divisors (41272224).

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

20635104 is a wasteful number, since it uses less digits than its factorization.

20635104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30727 (or 30719 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20635104 is about 4542.5878087275. The cubic root of 20635104 is about 274.2851029252.

Adding to 20635104 its reverse (40153602), we get a palindrome (60788706).

The spelling of 20635104 in words is "twenty million, six hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 30707 61414 92121 122828 184242 214949 245656 368484 429898 491312 644847 736968 859796 982624 1289694 1473936 1719592 2579388 2947872 3439184 5158776 6878368 10317552 20635104