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20279973 = 3721953137
BaseRepresentation
bin100110101011…
…1001010100101
31102011022220010
41031113022211
520142424343
62002400433
7334243200
oct115271245
942138803
1020279973
11104a170a
126960119
1342809ac
14299c937
151ba8d33
hex13572a5

20279973 has 48 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 10692864.

The previous prime is 20279969. The next prime is 20279981. The reversal of 20279973 is 37997202.

It is not a de Polignac number, because 20279973 - 22 = 20279969 is a prime.

It is a super-2 number, since 2×202799732 = 822554609761458, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20279923) 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 47 ways as a sum of consecutive naturals, for example, 147961 + ... + 148097.

It is an arithmetic number, because the mean of its divisors is an integer number (707940).

Almost surely, 220279973 is an apocalyptic number.

It is an amenable number.

20279973 is a deficient number, since it is larger than the sum of its proper divisors (13701147).

20279973 is a wasteful number, since it uses less digits than its factorization.

20279973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 20279973 is about 4503.3291018978. The cubic root of 20279973 is about 272.7025030131.

The spelling of 20279973 in words is "twenty million, two hundred seventy-nine thousand, nine hundred seventy-three".

Divisors: 1 3 7 19 21 49 53 57 133 137 147 159 371 399 411 931 959 1007 1113 2597 2603 2793 2877 3021 6713 7049 7261 7791 7809 18221 20139 21147 21783 49343 50827 54663 127547 137959 148029 152481 355789 382641 413877 965713 1067367 2897139 6759991 20279973