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399257060 = 22531220773
BaseRepresentation
bin10111110011000…
…010110111100100
31000211021100201112
4113303002313210
51304202211220
6103341244152
712615425516
oct2763026744
91024240645
10399257060
11195408814
12b1863658
13649413a7
143b04dbb6
15250b85c5
hex17cc2de4

399257060 has 36 divisors (see below), whose sum is σ = 866400444. Its totient is φ = 154543680.

The previous prime is 399257039. The next prime is 399257077. The reversal of 399257060 is 60752993.

It can be written as a sum of positive squares in 2 ways, for example, as 276091456 + 123165604 = 16616^2 + 11098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 399256999 and 399257017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8834 + ... + 29606.

It is an arithmetic number, because the mean of its divisors is an integer number (24066679).

Almost surely, 2399257060 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 399257060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433200222).

399257060 is an abundant number, since it is smaller than the sum of its proper divisors (467143384).

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

399257060 is a wasteful number, since it uses less digits than its factorization.

399257060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844 (or 20811 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 399257060 is about 19981.4178676089. The cubic root of 399257060 is about 736.3498479542.

The spelling of 399257060 in words is "three hundred ninety-nine million, two hundred fifty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 9610 19220 20773 41546 83092 103865 207730 415460 643963 1287926 2575852 3219815 6439630 12879260 19962853 39925706 79851412 99814265 199628530 399257060