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20966949 = 324156821
BaseRepresentation
bin100111111111…
…0111000100101
31110110020020200
41033332320211
520331420244
62025221113
7343134063
oct117767045
943406220
1020966949
1110920863
127031799
1344615a3
142adb033
151c92669
hex13fee25

20966949 has 12 divisors (see below), whose sum is σ = 31024812. Its totient is φ = 13636800.

The previous prime is 20966923. The next prime is 20966951. The reversal of 20966949 is 94966902.

It can be written as a sum of positive squares in 2 ways, for example, as 3802500 + 17164449 = 1950^2 + 4143^2 .

It is not a de Polignac number, because 20966949 - 27 = 20966821 is a prime.

It is a super-2 number, since 2×209669492 = 879225900737202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20966969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28042 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (2585401).

Almost surely, 220966949 is an apocalyptic number.

It is an amenable number.

20966949 is a deficient number, since it is larger than the sum of its proper divisors (10057863).

20966949 is a wasteful number, since it uses less digits than its factorization.

20966949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56868 (or 56865 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 20966949 is about 4578.9681151980. The cubic root of 20966949 is about 275.7476032217.

It can be divided in two parts, 2096 and 6949, that added together give a triangular number (9045 = T134).

The spelling of 20966949 in words is "twenty million, nine hundred sixty-six thousand, nine hundred forty-nine".

Divisors: 1 3 9 41 123 369 56821 170463 511389 2329661 6988983 20966949