Search a number
-
+
20047144 = 2313533637
BaseRepresentation
bin100110001111…
…0010100101000
31101201111111211
41030132110220
520113002034
61553402504
7332253325
oct114362450
941644454
1020047144
1110352797
126869434
1341cba20
14293bb4c
151b5ed64
hex131e528

20047144 has 32 divisors (see below), whose sum is σ = 41254920. Its totient is φ = 9075456.

The previous prime is 20047133. The next prime is 20047151. The reversal of 20047144 is 44174002.

It can be written as a sum of positive squares in 4 ways, for example, as 10048900 + 9998244 = 3170^2 + 3162^2 .

It is an unprimeable number.

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, 3694 + ... + 7330.

Almost surely, 220047144 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 20047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627460).

20047144 is an abundant number, since it is smaller than the sum of its proper divisors (21207776).

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

20047144 is a wasteful number, since it uses less digits than its factorization.

20047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 20047144 is about 4477.4037119742. The cubic root of 20047144 is about 271.6548751369.

The spelling of 20047144 in words is "twenty million, forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 3637 5512 7274 14548 29096 47281 94562 189124 192761 378248 385522 771044 1542088 2505893 5011786 10023572 20047144