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21086496 = 2532211347
BaseRepresentation
bin101000001110…
…0000100100000
31110200022020100
41100130010200
520344231441
62031542400
7344142444
oct120340440
943608210
1021086496
11109a2662
12708aa00
1344a3b22
142b2c824
151cb7cb6
hex141c120

21086496 has 72 divisors (see below), whose sum is σ = 60422544. Its totient is φ = 6975360.

The previous prime is 21086491. The next prime is 21086501. The reversal of 21086496 is 69468012.

21086496 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21086491) and next prime (21086501).

It is a tau number, because it is divible by the number of its divisors (72).

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 21086496.

It is not an unprimeable number, because it can be changed into a prime (21086491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60595 + ... + 60941.

It is an arithmetic number, because the mean of its divisors is an integer number (839202).

Almost surely, 221086496 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 21086496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30211272).

21086496 is an abundant number, since it is smaller than the sum of its proper divisors (39336048).

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

21086496 is a wasteful number, since it uses less digits than its factorization.

21086496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21086496 is about 4592.0034843192. The cubic root of 21086496 is about 276.2706859198.

The spelling of 21086496 in words is "twenty-one million, eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 347 422 633 694 844 1041 1266 1388 1688 1899 2082 2532 2776 3123 3376 3798 4164 5064 5552 6246 6752 7596 8328 10128 11104 12492 15192 16656 20256 24984 30384 33312 49968 60768 73217 99936 146434 219651 292868 439302 585736 658953 878604 1171472 1317906 1757208 2342944 2635812 3514416 5271624 7028832 10543248 21086496