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2140509 = 37101929
BaseRepresentation
bin1000001010100101011101
311000202020010
420022211131
51021444014
6113513433
724123360
oct10124535
94022203
102140509
111232218
12872879
1359c397
143da0d7
152c4359
hex20a95d

2140509 has 8 divisors (see below), whose sum is σ = 3261760. Its totient is φ = 1223136.

The previous prime is 2140477. The next prime is 2140513. The reversal of 2140509 is 9050412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2140509 - 25 = 2140477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 101929 = 2140509 / (2 + 1 + 4 + 0 + 5 + 0 + 9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50944 + ... + 50985.

It is an arithmetic number, because the mean of its divisors is an integer number (407720).

22140509 is an apocalyptic number.

It is an amenable number.

2140509 is a deficient number, since it is larger than the sum of its proper divisors (1121251).

2140509 is a wasteful number, since it uses less digits than its factorization.

2140509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101939.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2140509 is about 1463.0478461076. The cubic root of 2140509 is about 128.8760903804.

Subtracting 2140509 from its reverse (9050412), we obtain a triangular number (6909903 = T3717).

The spelling of 2140509 in words is "two million, one hundred forty thousand, five hundred nine".

Divisors: 1 3 7 21 101929 305787 713503 2140509