Search a number
-
+
620404026 = 231121575443
BaseRepresentation
bin100100111110101…
…001110100111010
31121020101210022220
4210332221310322
52232310412101
6141321224510
721242230044
oct4476516472
91536353286
10620404026
11299224800
12153932136
139b6c0b98
145c578a94
15396ed636
hex24fa9d3a

620404026 has 48 divisors (see below), whose sum is σ = 1372802592. Its totient is φ = 186769440.

The previous prime is 620404021. The next prime is 620404033.

620404026 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 620403987 and 620404005.

It is not an unprimeable number, because it can be changed into a prime (620404021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111261 + ... + 116703.

It is an arithmetic number, because the mean of its divisors is an integer number (28600054).

Almost surely, 2620404026 is an apocalyptic number.

620404026 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 620404026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686401296).

620404026 is an abundant number, since it is smaller than the sum of its proper divisors (752398566).

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

620404026 is a wasteful number, since it uses less digits than its factorization.

620404026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 620404026 is about 24907.9109119974. The cubic root of 620404026 is about 852.8870805484.

It can be divided in two parts, 62040 and 4026, that added together give a palindrome (66066).

The spelling of 620404026 in words is "six hundred twenty million, four hundred four thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 157 242 314 363 471 726 942 1727 3454 5181 5443 10362 10886 16329 18997 32658 37994 56991 59873 113982 119746 179619 359238 658603 854551 1317206 1709102 1975809 2563653 3951618 5127306 9400061 18800122 28200183 56400366 103400671 206801342 310202013 620404026