Search a number
-
+
20564148 = 22311433623
BaseRepresentation
bin100111001110…
…0100010110100
31102200202201010
41032130202310
520231023043
62012432220
7336535533
oct116344264
942622633
1020564148
1110676170
126a78670
134350147
142a3431a
151c13133
hex139c8b4

20564148 has 48 divisors (see below), whose sum is σ = 53577216. Its totient is φ = 6084960.

The previous prime is 20564147. The next prime is 20564171. The reversal of 20564148 is 84146502.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20564147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (1116192).

Almost surely, 220564148 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 20564148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26788608).

20564148 is an abundant number, since it is smaller than the sum of its proper divisors (33013068).

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

20564148 is a wasteful number, since it uses less digits than its factorization.

20564148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20564148 is about 4534.7709975257. The cubic root of 20564148 is about 273.9703557181.

The spelling of 20564148 in words is "twenty million, five hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 3623 5676 7246 10869 14492 21738 39853 43476 79706 119559 155789 159412 239118 311578 467367 478236 623156 934734 1713679 1869468 3427358 5141037 6854716 10282074 20564148