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360040 = 2359001
BaseRepresentation
bin1010111111001101000
3200021212211
41113321220
543010130
611414504
73026452
oct1277150
9607784
10360040
1122655a
12154434
13c7b55
14952d2
1571a2a
hex57e68

360040 has 16 divisors (see below), whose sum is σ = 810180. Its totient is φ = 144000.

The previous prime is 360037. The next prime is 360049. The reversal of 360040 is 40063.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 21316 = 582^2 + 146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 360040.

It is not an unprimeable number, because it can be changed into a prime (360049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4461 + ... + 4540.

2360040 is an apocalyptic number.

It is an amenable number.

360040 is an abundant number, since it is smaller than the sum of its proper divisors (450140).

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

360040 is a wasteful number, since it uses less digits than its factorization.

360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 360040 is about 600.0333324075. The cubic root of 360040 is about 71.1405007280.

The spelling of 360040 in words is "three hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 9001 18002 36004 45005 72008 90010 180020 360040