Search a number
-
+
20042672 = 2413167577
BaseRepresentation
bin100110001110…
…1001110110000
31101201021101012
41030131032300
520112331142
61553330052
7332234306
oct114351660
941637335
1020042672
111034a3a1
126866928
1341c9990
14293a276
151b5d882
hex131d3b0

20042672 has 40 divisors (see below), whose sum is σ = 42143136. Its totient is φ = 9179136.

The previous prime is 20042669. The next prime is 20042717. The reversal of 20042672 is 27624002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34448 + ... + 35024.

Almost surely, 220042672 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 20042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071568).

20042672 is an abundant number, since it is smaller than the sum of its proper divisors (22100464).

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

20042672 is a wasteful number, since it uses less digits than its factorization.

20042672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 20042672 is about 4476.9042875630. The cubic root of 20042672 is about 271.6346739062.

Adding to 20042672 its reverse (27624002), we get a palindrome (47666674).

The spelling of 20042672 in words is "twenty million, forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 577 668 1154 1336 2171 2308 2672 4342 4616 7501 8684 9232 15002 17368 30004 34736 60008 96359 120016 192718 385436 770872 1252667 1541744 2505334 5010668 10021336 20042672