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2067114 = 23727989
BaseRepresentation
bin111111000101010101010
310220000112210
413320222222
51012121424
6112145550
723366400
oct7705252
93800483
102067114
111192065
128382b6
13574b5a
143bb470
152ac729
hex1f8aaa

2067114 has 48 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 576576.

The previous prime is 2067101. The next prime is 2067119. The reversal of 2067114 is 4117602.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2067119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23182 + ... + 23270.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22067114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

2067114 is an abundant number, since it is smaller than the sum of its proper divisors (2857686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2067114 is a wasteful number, since it uses less digits than its factorization.

2067114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2067114 is about 1437.7461528378. The cubic root of 2067114 is about 127.3859341231.

The spelling of 2067114 in words is "two million, sixty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 79 89 98 147 158 178 237 267 294 474 534 553 623 1106 1246 1659 1869 3318 3738 3871 4361 7031 7742 8722 11613 13083 14062 21093 23226 26166 42186 49217 98434 147651 295302 344519 689038 1033557 2067114