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7057040 = 245175189
BaseRepresentation
bin11010111010111010010000
3111021112102212
4122322322100
53301311130
6411131252
7113661314
oct32727220
914245385
107057040
113a90071
122443b28
131601183
14d19b44
15945e95
hex6bae90

7057040 has 40 divisors (see below), whose sum is σ = 17376120. Its totient is φ = 2656256.

The previous prime is 7057033. The next prime is 7057051. The reversal of 7057040 is 407507.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 4648336 = 1552^2 + 2156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 7056997 and 7057015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235 + ... + 3954.

It is an arithmetic number, because the mean of its divisors is an integer number (434403).

Almost surely, 27057040 is an apocalyptic number.

It is an amenable number.

7057040 is an abundant number, since it is smaller than the sum of its proper divisors (10319080).

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

7057040 is a wasteful number, since it uses less digits than its factorization.

7057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 7057040 is about 2656.5089873742. The cubic root of 7057040 is about 191.8113018762.

The spelling of 7057040 in words is "seven million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5189 10378 20756 25945 41512 51890 83024 88213 103780 176426 207560 352852 415120 441065 705704 882130 1411408 1764260 3528520 7057040