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240512040 = 23325668089
BaseRepresentation
bin11100101010111…
…10110000101000
3121202120021111100
432111132300220
5443032341130
635511001400
75650214166
oct1625366050
9552507440
10240512040
1111384328a
1268669260
133aa9cc22
1423d2a236
15161acc60
hexe55ec28

240512040 has 48 divisors (see below), whose sum is σ = 781665300. Its totient is φ = 64136448.

The previous prime is 240512033. The next prime is 240512053. The reversal of 240512040 is 40215042.

240512040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226984356 + 13527684 = 15066^2 + 3678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 333685 + ... + 334404.

Almost surely, 2240512040 is an apocalyptic number.

240512040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240512040 is an abundant number, since it is smaller than the sum of its proper divisors (541153260).

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

240512040 is a wasteful number, since it uses less digits than its factorization.

240512040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668106 (or 668099 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240512040 is about 15508.4505995925. The cubic root of 240512040 is about 621.8881392980. Note that the first 3 decimals are identical.

Adding to 240512040 its reverse (40215042), we get a palindrome (280727082).

The spelling of 240512040 in words is "two hundred forty million, five hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 668089 1336178 2004267 2672356 3340445 4008534 5344712 6012801 6680890 8017068 10021335 12025602 13361780 16034136 20042670 24051204 26723560 30064005 40085340 48102408 60128010 80170680 120256020 240512040