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2119953 = 311227283
BaseRepresentation
bin1000000101100100010001
310222201000210
420011210101
51020314303
6113234333
724006423
oct10054421
93881023
102119953
111218830
128629a9
13592c14
143d2813
152bd203
hex205911

2119953 has 16 divisors (see below), whose sum is σ = 3108096. Its totient is φ = 1274640.

The previous prime is 2119939. The next prime is 2119967. The reversal of 2119953 is 3599112.

It is an interprime number because it is at equal distance from previous prime (2119939) and next prime (2119967).

It is not a de Polignac number, because 2119953 - 24 = 2119937 is a prime.

2119953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2119953.

It is not an unprimeable number, because it can be changed into a prime (2119913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7350 + ... + 7632.

It is an arithmetic number, because the mean of its divisors is an integer number (194256).

22119953 is an apocalyptic number.

It is an amenable number.

2119953 is a deficient number, since it is larger than the sum of its proper divisors (988143).

2119953 is a wasteful number, since it uses less digits than its factorization.

2119953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its digits is 2430, while the sum is 30.

The square root of 2119953 is about 1456.0058379004. The cubic root of 2119953 is about 128.4622164295.

The spelling of 2119953 in words is "two million, one hundred nineteen thousand, nine hundred fifty-three".

Divisors: 1 3 11 33 227 283 681 849 2497 3113 7491 9339 64241 192723 706651 2119953