Search a number
-
+
620421120 = 2133451117
BaseRepresentation
bin100100111110101…
…110000000000000
31121020102122210000
4210332232000000
52232311433440
6141321440000
721242330634
oct4476560000
91536378700
10620421120
11299236630
12153940000
139b6c88b7
145c580dc4
1539703730
hex24fae000

620421120 has 560 divisors, whose sum is σ = 2569116528. Its totient is φ = 141557760.

The previous prime is 620421119. The next prime is 620421149. The reversal of 620421120 is 21124026.

620421120 is a `hidden beast` number, since 620 + 4 + 21 + 1 + 20 = 666.

It is a super-2 number, since 2×6204211202 = 769844732284108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 620421093 and 620421102.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 36495352 + ... + 36495368.

Almost surely, 2620421120 is an apocalyptic number.

620421120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284558264).

620421120 is an abundant number, since it is smaller than the sum of its proper divisors (1948695408).

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

620421120 is a wasteful number, since it uses less digits than its factorization.

620421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 620421120 is about 24908.2540536265. The cubic root of 620421120 is about 852.8949136793.

Adding to 620421120 its reverse (21124026), we get a palindrome (641545146).

The spelling of 620421120 in words is "six hundred twenty million, four hundred twenty-one thousand, one hundred twenty".