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20779728 = 243974463
BaseRepresentation
bin100111101000…
…1001011010000
31110002201102120
41033101023100
520304422403
62021214240
7341424204
oct117211320
943081376
1020779728
1110803132
126b61380
1343c72c8
142a8cb04
151c56e53
hex13d12d0

20779728 has 40 divisors (see below), whose sum is σ = 54246528. Its totient is φ = 6853632.

The previous prime is 20779727. The next prime is 20779739. The reversal of 20779728 is 82797702.

It is a self number, because there is not a number n which added to its sum of digits gives 20779728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20779723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2425 + ... + 6887.

Almost surely, 220779728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20779728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123264).

20779728 is an abundant number, since it is smaller than the sum of its proper divisors (33466800).

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

20779728 is a wasteful number, since it uses less digits than its factorization.

20779728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 20779728 is about 4558.4786935994. The cubic root of 20779728 is about 274.9244001555.

The spelling of 20779728 in words is "twenty million, seven hundred seventy-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4463 4656 8926 13389 17852 26778 35704 53556 71408 107112 214224 432911 865822 1298733 1731644 2597466 3463288 5194932 6926576 10389864 20779728