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240225040 = 24511272983
BaseRepresentation
bin11100101000110…
…00101100010000
3121202000200210201
432110120230100
5442444200130
635500504544
75644610356
oct1624305420
9552020721
10240225040
111136676a0
126854b154
133a9cc3c3
1423c937d6
1516152bca
hexe518b10

240225040 has 40 divisors (see below), whose sum is σ = 609300288. Its totient is φ = 87354240.

The previous prime is 240225031. The next prime is 240225061. The reversal of 240225040 is 40522042.

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 = 240224999 and 240225017.

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 7 ways as a sum of consecutive naturals, for example, 135612 + ... + 137371.

Almost surely, 2240225040 is an apocalyptic number.

240225040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240225040 is an abundant number, since it is smaller than the sum of its proper divisors (369075248).

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

240225040 is a wasteful number, since it uses less digits than its factorization.

240225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273007 (or 273001 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 240225040 is about 15499.1948177962. The cubic root of 240225040 is about 621.6406770691.

Adding to 240225040 its reverse (40522042), we get a palindrome (280747082).

The spelling of 240225040 in words is "two hundred forty million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 272983 545966 1091932 1364915 2183864 2729830 3002813 4367728 5459660 6005626 10919320 12011252 15014065 21838640 24022504 30028130 48045008 60056260 120112520 240225040