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2140369 = 72112192
BaseRepresentation
bin1000001010100011010001
311000202000221
420022203101
51021442434
6113513041
724123100
oct10124321
94022027
102140369
111232100
12872781
1359c2ba
143da037
152c42b4
hex20a8d1

2140369 has 27 divisors (see below), whose sum is σ = 2888361. Its totient is φ = 1580040.

The previous prime is 2140367. The next prime is 2140387. The reversal of 2140369 is 9630412.

The square root of 2140369 is 1463.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2140369 - 21 = 2140367 is a prime.

It is a super-2 number, since 2×21403692 = 9162358912322, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2140363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112642 + ... + 112660.

22140369 is an apocalyptic number.

2140369 is the 1463-rd square number.

2140369 is the 732-nd centered octagonal number.

It is an amenable number.

2140369 is a deficient number, since it is larger than the sum of its proper divisors (747992).

2140369 is a wasteful number, since it uses less digits than its factorization.

2140369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 2140369 is about 128.8732806054.

Multiplying 2140369 by its sum of digits (25), we get a square (53509225 = 73152).

Multiplying 2140369 by its product of nonzero digits (1296), we get a square (2773918224 = 526682).

The spelling of 2140369 in words is "two million, one hundred forty thousand, three hundred sixty-nine".

Divisors: 1 7 11 19 49 77 121 133 209 361 539 847 931 1463 2299 2527 3971 5929 10241 16093 17689 27797 43681 112651 194579 305767 2140369