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240128493 = 31122712441
BaseRepresentation
bin11100101000000…
…01000111101101
3121201211210100220
432110001013231
5442433102433
635454441553
75644026033
oct1624010755
9551753326
10240128493
11113601100
12685032b9
133a997487
1423c6a553
15161342b3
hexe5011ed

240128493 has 24 divisors (see below), whose sum is σ = 353367168. Its totient is φ = 144936000.

The previous prime is 240128491. The next prime is 240128501. The reversal of 240128493 is 394821042.

It is not a de Polignac number, because 240128493 - 21 = 240128491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240128491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97153 + ... + 99593.

It is an arithmetic number, because the mean of its divisors is an integer number (14723632).

Almost surely, 2240128493 is an apocalyptic number.

It is an amenable number.

240128493 is a deficient number, since it is larger than the sum of its proper divisors (113238675).

240128493 is a wasteful number, since it uses less digits than its factorization.

240128493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 240128493 is about 15496.0799236452. The cubic root of 240128493 is about 621.5573863005.

The spelling of 240128493 in words is "two hundred forty million, one hundred twenty-eight thousand, four hundred ninety-three".

Divisors: 1 3 11 33 121 271 363 813 2441 2981 7323 8943 26851 32791 80553 98373 295361 661511 886083 1984533 7276621 21829863 80042831 240128493