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20687364 = 22321972917
BaseRepresentation
bin100111011101…
…0101000000100
31102221000201200
41032322220010
520243443424
62015222500
7340561005
oct116725004
942830650
1020687364
111074a7a5
126b17a30
134394259
142a671ac
151c398c9
hex13baa04

20687364 has 36 divisors (see below), whose sum is σ = 52576524. Its totient is φ = 6858432.

The previous prime is 20687363. The next prime is 20687369. The reversal of 20687364 is 46378602.

It can be written as a sum of positive squares in 2 ways, for example, as 20520900 + 166464 = 4530^2 + 408^2 .

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 not an unprimeable number, because it can be changed into a prime (20687363) 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 11 ways as a sum of consecutive naturals, for example, 5634 + ... + 8550.

It is an arithmetic number, because the mean of its divisors is an integer number (1460459).

Almost surely, 220687364 is an apocalyptic number.

It is an amenable number.

20687364 is an abundant number, since it is smaller than the sum of its proper divisors (31889160).

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

20687364 is a wasteful number, since it uses less digits than its factorization.

20687364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20687364 is about 4548.3363991684. The cubic root of 20687364 is about 274.5164571538.

The spelling of 20687364 in words is "twenty million, six hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 2917 3546 5834 7092 8751 11668 17502 26253 35004 52506 105012 574649 1149298 1723947 2298596 3447894 5171841 6895788 10343682 20687364