Search a number
-
+
2128167 = 33232149
BaseRepresentation
bin1000000111100100100111
311000010022000
420013210213
51021100132
6113340343
724042366
oct10074447
94003260
102128167
111223a18
128676b3
13596892
143d57dd
152c087c
hex207927

2128167 has 24 divisors (see below), whose sum is σ = 3318000. Its totient is φ = 1347984.

The previous prime is 2128157. The next prime is 2128177. The reversal of 2128167 is 7618212.

It is an interprime number because it is at equal distance from previous prime (2128157) and next prime (2128177).

It is not a de Polignac number, because 2128167 - 26 = 2128103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2128167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128157) 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, 14209 + ... + 14357.

It is an arithmetic number, because the mean of its divisors is an integer number (138250).

22128167 is an apocalyptic number.

2128167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2128167 is a deficient number, since it is larger than the sum of its proper divisors (1189833).

2128167 is a wasteful number, since it uses less digits than its factorization.

2128167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2128167 is about 1458.8238413188. The cubic root of 2128167 is about 128.6279164482.

The spelling of 2128167 in words is "two million, one hundred twenty-eight thousand, one hundred sixty-seven".

Divisors: 1 3 9 23 27 69 149 207 447 529 621 1341 1587 3427 4023 4761 10281 14283 30843 78821 92529 236463 709389 2128167