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2166021 = 341121317
BaseRepresentation
bin1000010000110100000101
311002001020000
420100310011
51023303041
6114231513
724260634
oct10206405
94061200
102166021
11124a400
12885599
135aab90
1440551b
152cbbb6
hex210d05

2166021 has 60 divisors (see below), whose sum is σ = 4055436. Its totient is φ = 1140480.

The previous prime is 2166007. The next prime is 2166023. The reversal of 2166021 is 1206612.

It is a happy number.

2166021 is a `hidden beast` number, since 2 + 1 + 660 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 1185921 = 990^2 + 1089^2 .

It is not a de Polignac number, because 2166021 - 26 = 2165957 is a prime.

It is a Curzon number.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2165985 and 2166003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166023) 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 59 ways as a sum of consecutive naturals, for example, 127405 + ... + 127421.

22166021 is an apocalyptic number.

It is an amenable number.

2166021 is a deficient number, since it is larger than the sum of its proper divisors (1889415).

2166021 is a wasteful number, since it uses less digits than its factorization.

2166021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2166021 is about 1471.7408059845. The cubic root of 2166021 is about 129.3860797064.

The spelling of 2166021 in words is "two million, one hundred sixty-six thousand, twenty-one".

Divisors: 1 3 9 11 13 17 27 33 39 51 81 99 117 121 143 153 187 221 297 351 363 429 459 561 663 891 1053 1089 1287 1377 1573 1683 1989 2057 2431 3267 3861 4719 5049 5967 6171 7293 9801 11583 14157 15147 17901 18513 21879 26741 42471 55539 65637 80223 127413 166617 196911 240669 722007 2166021