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20893284 = 2232896521
BaseRepresentation
bin100111110110…
…0111001100100
31110022111012100
41033230321210
520322041114
62023452100
7342406236
oct117547144
943274170
1020893284
1110880485
126bb7030
134436bb9
142abc256
151c7a909
hex13ece64

20893284 has 36 divisors (see below), whose sum is σ = 53415180. Its totient is φ = 6885120.

The previous prime is 20893277. The next prime is 20893297. The reversal of 20893284 is 48239802.

It can be written as a sum of positive squares in 2 ways, for example, as 12320100 + 8573184 = 3510^2 + 2928^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (1483755).

Almost surely, 220893284 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 20893284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707590).

20893284 is an abundant number, since it is smaller than the sum of its proper divisors (32521896).

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

20893284 is a wasteful number, since it uses less digits than its factorization.

20893284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20893284 is about 4570.9171946120. The cubic root of 20893284 is about 275.4242882938.

The spelling of 20893284 in words is "twenty million, eight hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 6521 13042 19563 26084 39126 58689 78252 117378 234756 580369 1160738 1741107 2321476 3482214 5223321 6964428 10446642 20893284