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20813904 = 2432144541
BaseRepresentation
bin100111101100…
…1100001010000
31110011110022100
41033121201100
520312021104
62022040400
7341625636
oct117314120
943143270
1020813904
1110826881
126b79100
134409a27
142a9b356
151c62139
hex13d9850

20813904 has 30 divisors (see below), whose sum is σ = 58250426. Its totient is φ = 6937920.

The previous prime is 20813887. The next prime is 20813921. The reversal of 20813904 is 40931802.

It is an interprime number because it is at equal distance from previous prime (20813887) and next prime (20813921).

It can be written as a sum of positive squares in only one way, i.e., 20684304 + 129600 = 4548^2 + 360^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 72127 + ... + 72414.

Almost surely, 220813904 is an apocalyptic number.

20813904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20813904 is an abundant number, since it is smaller than the sum of its proper divisors (37436522).

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

20813904 is a wasteful number, since it uses less digits than its factorization.

20813904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144555 (or 144546 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20813904 is about 4562.2257725807. The cubic root of 20813904 is about 275.0750384758.

The spelling of 20813904 in words is "twenty million, eight hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 144541 289082 433623 578164 867246 1156328 1300869 1734492 2312656 2601738 3468984 5203476 6937968 10406952 20813904