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20772657 = 3217235903
BaseRepresentation
bin100111100111…
…1011100110001
31110002100201200
41033033130301
520304211112
62021121413
7341364453
oct117173461
943070650
1020772657
11107a8894
126b59269
1343c4019
142a8a2d3
151c54cdc
hex13cf731

20772657 has 24 divisors (see below), whose sum is σ = 33156864. Its totient is φ = 12465024.

The previous prime is 20772641. The next prime is 20772667. The reversal of 20772657 is 75627702.

It is not a de Polignac number, because 20772657 - 24 = 20772641 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20772607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (1381536).

Almost surely, 220772657 is an apocalyptic number.

It is an amenable number.

20772657 is a deficient number, since it is larger than the sum of its proper divisors (12384207).

20772657 is a wasteful number, since it uses less digits than its factorization.

20772657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 20772657 is about 4557.7030399095. The cubic root of 20772657 is about 274.8932125324.

The spelling of 20772657 in words is "twenty million, seven hundred seventy-two thousand, six hundred fifty-seven".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 5903 17709 53127 100351 135769 301053 407307 903159 1221921 2308073 6924219 20772657