Search a number
-
+
2107014 = 2371317227
BaseRepresentation
bin1000000010011010000110
310222001021120
420002122012
51014411024
6113054410
723623620
oct10023206
93861246
102107014
11120a038
12857406
1358a070
143cbc10
152b9479
hex202686

2107014 has 64 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 520704.

The previous prime is 2107013. The next prime is 2107033. The reversal of 2107014 is 4107012.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2106984 and 2107002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107013) 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 31 ways as a sum of consecutive naturals, for example, 9169 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22107014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2107014 is an abundant number, since it is smaller than the sum of its proper divisors (3408762).

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

2107014 is a wasteful number, since it uses less digits than its factorization.

2107014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2107014 is about 1451.5557171532. Note that the first 3 decimals coincide. The cubic root of 2107014 is about 128.2003292105.

The spelling of 2107014 in words is "two million, one hundred seven thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 227 238 273 357 442 454 546 663 681 714 1326 1362 1547 1589 2951 3094 3178 3859 4641 4767 5902 7718 8853 9282 9534 11577 17706 20657 23154 27013 41314 50167 54026 61971 81039 100334 123942 150501 162078 301002 351169 702338 1053507 2107014