Search a number
-
+
56190420 = 2232511133759
BaseRepresentation
bin1101011001011…
…0010111010100
310220201202202200
43112112113110
5103341043140
65324204500
71251416316
oct326262724
9126652680
1056190420
1129799770
1216999730
13b844c90
1476697b6
154dee030
hex35965d4

56190420 has 288 divisors, whose sum is σ = 209139840. Its totient is φ = 12026880.

The previous prime is 56190401. The next prime is 56190437. The reversal of 56190420 is 2409165.

56190420 is a `hidden beast` number, since 5 + 619 + 0 + 42 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 952351 + ... + 952409.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

It is a vampire number, since it can be written as 61059204 (with its own digits).

Almost surely, 256190420 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 56190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

56190420 is an abundant number, since it is smaller than the sum of its proper divisors (152949420).

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

56190420 is a wasteful number, since it uses less digits than its factorization.

56190420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56190420 is about 7496.0269476570. The cubic root of 56190420 is about 383.0193892476.

Adding to 56190420 its reverse (2409165), we get a palindrome (58599585).

The spelling of 56190420 in words is "fifty-six million, one hundred ninety thousand, four hundred twenty".