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240153140 = 22559320249
BaseRepresentation
bin11100101000001…
…11001000110100
3121201220001011202
432110013020310
5442434400030
635455152032
75644160633
oct1624071064
9551801152
10240153140
11113618677
1268515618
133a9a5766
1423c7551a
151613b745
hexe507234

240153140 has 24 divisors (see below), whose sum is σ = 505197000. Its totient is φ = 95894528.

The previous prime is 240153139. The next prime is 240153163. The reversal of 240153140 is 41351042.

240153140 is digitally balanced in base 3, 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 4 ways, for example, as 17606416 + 222546724 = 4196^2 + 14918^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1736 + ... + 21984.

It is an arithmetic number, because the mean of its divisors is an integer number (21049875).

Almost surely, 2240153140 is an apocalyptic number.

240153140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240153140 is an abundant number, since it is smaller than the sum of its proper divisors (265043860).

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

240153140 is a wasteful number, since it uses less digits than its factorization.

240153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 240153140 is about 15496.8751688849. The cubic root of 240153140 is about 621.5786513055.

The spelling of 240153140 in words is "two hundred forty million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 593 1186 2372 2965 5930 11860 20249 40498 80996 101245 202490 404980 12007657 24015314 48030628 60038285 120076570 240153140