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20712937 = 721492837
BaseRepresentation
bin100111100000…
…0110111101001
31102222022210211
41033000313221
520300303222
62015541121
7341025400
oct117006751
942868724
1020712937
1110767a33
126b2a7a1
1343a2a9b
142a72637
151c42277
hex13c0de9

20712937 has 12 divisors (see below), whose sum is σ = 24264900. Its totient is φ = 17628576.

The previous prime is 20712917. The next prime is 20712973. The reversal of 20712937 is 73921702.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 19263321 = 1204^2 + 4389^2 .

It is not a de Polignac number, because 20712937 - 211 = 20710889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20712899 and 20712908.

It is not an unprimeable number, because it can be changed into a prime (20712917) 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 11 ways as a sum of consecutive naturals, for example, 5883 + ... + 8719.

It is an arithmetic number, because the mean of its divisors is an integer number (2022075).

Almost surely, 220712937 is an apocalyptic number.

It is an amenable number.

20712937 is a deficient number, since it is larger than the sum of its proper divisors (3551963).

20712937 is a wasteful number, since it uses less digits than its factorization.

20712937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 20712937 is about 4551.1467785603. The cubic root of 20712937 is about 274.6295264753.

The spelling of 20712937 in words is "twenty million, seven hundred twelve thousand, nine hundred thirty-seven".

Divisors: 1 7 49 149 1043 2837 7301 19859 139013 422713 2958991 20712937