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2116989 = 33723487
BaseRepresentation
bin1000000100110101111101
310222112222000
420010311331
51020220424
6113212513
723664660
oct10046575
93875860
102116989
111216586
12861139
13591774
143d16d7
152bc3c9
hex204d7d

2116989 has 32 divisors (see below), whose sum is σ = 3747840. Its totient is φ = 1154736.

The previous prime is 2116987. The next prime is 2116991. The reversal of 2116989 is 9896112.

2116989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2116987) and next prime (2116991).

It is not a de Polignac number, because 2116989 - 21 = 2116987 is a prime.

It is a super-2 number, since 2×21169892 = 8963284852242, which contains 22 as substring.

2116989 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116981) 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 31 ways as a sum of consecutive naturals, for example, 4104 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (117120).

22116989 is an apocalyptic number.

It is an amenable number.

2116989 is a deficient number, since it is larger than the sum of its proper divisors (1630851).

2116989 is a wasteful number, since it uses less digits than its factorization.

2116989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2116989 is about 1454.9876288134. The cubic root of 2116989 is about 128.4023189379.

Adding to 2116989 its sum of digits (36), we get a square (2117025 = 14552).

The spelling of 2116989 in words is "two million, one hundred sixteen thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 487 621 1449 1461 3409 4347 4383 10227 11201 13149 30681 33603 78407 92043 100809 235221 302427 705663 2116989