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20968973 = 17237253
BaseRepresentation
bin100111111111…
…1011000001101
31110110100000122
41033333120031
520332001343
62025234325
7343143014
oct117773015
943410018
1020968973
1110922333
1270329a5
13446249c
142adba7b
151c93068
hex13ff60d

20968973 has 18 divisors (see below), whose sum is σ = 23325246. Its totient is φ = 18839808.

The previous prime is 20968957. The next prime is 20968979. The reversal of 20968973 is 37986902.

It can be written as a sum of positive squares in 9 ways, for example, as 4338889 + 16630084 = 2083^2 + 4078^2 .

It is not a de Polignac number, because 20968973 - 24 = 20968957 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20968979) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 395615 + ... + 395667.

It is an arithmetic number, because the mean of its divisors is an integer number (1295847).

Almost surely, 220968973 is an apocalyptic number.

It is an amenable number.

20968973 is a deficient number, since it is larger than the sum of its proper divisors (2356273).

20968973 is an equidigital number, since it uses as much as digits as its factorization.

20968973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 20968973 is about 4579.1891203574. The cubic root of 20968973 is about 275.7564758398.

The spelling of 20968973 in words is "twenty million, nine hundred sixty-eight thousand, nine hundred seventy-three".

Divisors: 1 17 37 53 289 629 901 1369 1961 10693 15317 23273 33337 72557 395641 566729 1233469 20968973