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2149679 = 72192309
BaseRepresentation
bin1000001100110100101111
311001012210202
420030310233
51022242204
6114024115
724162200
oct10146457
94035722
102149679
1112390a4
1287803b
135a35cc
143dd5a7
152c6e1e
hex20cd2f

2149679 has 12 divisors (see below), whose sum is σ = 2633400. Its totient is φ = 1744848.

The previous prime is 2149661. The next prime is 2149681. The reversal of 2149679 is 9769412.

2149679 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 2149679 - 220 = 1101103 is a prime.

It is a super-2 number, since 2×21496792 = 9242239606082, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149619) 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 11 ways as a sum of consecutive naturals, for example, 224 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (219450).

22149679 is an apocalyptic number.

2149679 is a deficient number, since it is larger than the sum of its proper divisors (483721).

2149679 is a wasteful number, since it uses less digits than its factorization.

2149679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2335 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 2149679 is about 1466.1783656841. The cubic root of 2149679 is about 129.0598644487.

The spelling of 2149679 in words is "two million, one hundred forty-nine thousand, six hundred seventy-nine".

Divisors: 1 7 19 49 133 931 2309 16163 43871 113141 307097 2149679