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2137035 = 35142469
BaseRepresentation
bin1000001001101111001011
311000120110110
420021233023
51021341120
6113445403
724110265
oct10115713
94016413
102137035
11122a64a
12870863
1359a924
143d8b35
152c32e0
hex209bcb

2137035 has 8 divisors (see below), whose sum is σ = 3419280. Its totient is φ = 1139744.

The previous prime is 2137033. The next prime is 2137049. The reversal of 2137035 is 5307312.

It is a happy number.

2137035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 2137035 - 21 = 2137033 is a prime.

2137035 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2137033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71220 + ... + 71249.

It is an arithmetic number, because the mean of its divisors is an integer number (427410).

22137035 is an apocalyptic number.

2137035 is a deficient number, since it is larger than the sum of its proper divisors (1282245).

2137035 is a wasteful number, since it uses less digits than its factorization.

2137035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142477.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2137035 is about 1461.8601164270. The cubic root of 2137035 is about 128.8063315882.

The spelling of 2137035 in words is "two million, one hundred thirty-seven thousand, thirty-five".

Divisors: 1 3 5 15 142469 427407 712345 2137035