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20819296 = 251933371
BaseRepresentation
bin100111101101…
…0110101100000
31110011201201001
41033122311200
520312204141
62022121344
7341650441
oct117326540
943151631
1020819296
111082a933
126b80254
13440c314
142a9d2c8
151c63a31
hex13dad60

20819296 has 24 divisors (see below), whose sum is σ = 41212584. Its totient is φ = 10352640.

The previous prime is 20819263. The next prime is 20819333. The reversal of 20819296 is 69291802.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4491 + ... + 7861.

It is an arithmetic number, because the mean of its divisors is an integer number (1717191).

Almost surely, 220819296 is an apocalyptic number.

It is an amenable number.

20819296 is a deficient number, since it is larger than the sum of its proper divisors (20393288).

20819296 is a wasteful number, since it uses less digits than its factorization.

20819296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 20819296 is about 4562.8166739417. The cubic root of 20819296 is about 275.0987898512.

It can be divided in two parts, 20819 and 296, that added together give a triangular number (21115 = T205).

The spelling of 20819296 in words is "twenty million, eight hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 193 386 772 1544 3088 3371 6176 6742 13484 26968 53936 107872 650603 1301206 2602412 5204824 10409648 20819296