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20966436 = 22321075443
BaseRepresentation
bin100111111111…
…0110000100100
31110110012112200
41033332300210
520331411221
62025214500
7343132431
oct117766044
943405480
1020966436
1110920437
127031430
13446129a
142adab88
151c92426
hex13fec24

20966436 has 36 divisors (see below), whose sum is σ = 53503632. Its totient is φ = 6922224.

The previous prime is 20966431. The next prime is 20966459. The reversal of 20966436 is 63466902.

20966436 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 643 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20966436.

It is not an unprimeable number, because it can be changed into a prime (20966431) 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, 1131 + ... + 6573.

It is an arithmetic number, because the mean of its divisors is an integer number (1486212).

Almost surely, 220966436 is an apocalyptic number.

It is an amenable number.

20966436 is an abundant number, since it is smaller than the sum of its proper divisors (32537196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20966436 is a wasteful number, since it uses less digits than its factorization.

20966436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 20966436 is about 4578.9120978678. The cubic root of 20966436 is about 275.7453542906.

The spelling of 20966436 in words is "twenty million, nine hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 5443 10886 16329 21772 32658 48987 65316 97974 195948 582401 1164802 1747203 2329604 3494406 5241609 6988812 10483218 20966436