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6305740 = 225773617
BaseRepresentation
bin11000000011011111001100
3102212100211221
4120003133030
53103240430
6343053124
7104412040
oct30033714
912770757
106305740
113617661
1221411a4
1313ca20c
14ba2020
1584857a
hex6037cc

6305740 has 48 divisors (see below), whose sum is σ = 15365952. Its totient is φ = 2128896.

The previous prime is 6305737. The next prime is 6305791. The reversal of 6305740 is 475036.

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 15 ways as a sum of consecutive naturals, for example, 9912 + ... + 10528.

It is an arithmetic number, because the mean of its divisors is an integer number (320124).

Almost surely, 26305740 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 6305740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682976).

6305740 is an abundant number, since it is smaller than the sum of its proper divisors (9060212).

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

6305740 is a wasteful number, since it uses less digits than its factorization.

6305740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 6305740 is about 2511.1232546412. The cubic root of 6305740 is about 184.7475495032.

The spelling of 6305740 in words is "six million, three hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 617 730 1022 1234 1460 2044 2468 2555 3085 4319 5110 6170 8638 10220 12340 17276 21595 43190 45041 86380 90082 180164 225205 315287 450410 630574 900820 1261148 1576435 3152870 6305740