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2157753 = 31361907
BaseRepresentation
bin1000001110110010111001
311001121212210
420032302321
51023022003
6114125333
724224553
oct10166271
94047783
102157753
111244174
12880849
135a71a0
144024d3
152c9503
hex20ecb9

2157753 has 16 divisors (see below), whose sum is σ = 3152576. Its totient is φ = 1304640.

The previous prime is 2157739. The next prime is 2157763. The reversal of 2157753 is 3577512.

2157753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2157753 - 24 = 2157737 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2157753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157733) 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 15 ways as a sum of consecutive naturals, for example, 1926 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (197036).

22157753 is an apocalyptic number.

It is an amenable number.

2157753 is a deficient number, since it is larger than the sum of its proper divisors (994823).

2157753 is a wasteful number, since it uses less digits than its factorization.

2157753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its digits is 7350, while the sum is 30.

The square root of 2157753 is about 1468.9292018338. The cubic root of 2157753 is about 129.2212416391.

The spelling of 2157753 in words is "two million, one hundred fifty-seven thousand, seven hundred fifty-three".

Divisors: 1 3 13 39 61 183 793 907 2379 2721 11791 35373 55327 165981 719251 2157753