Search a number
-
+
2800161 = 327132263
BaseRepresentation
bin1010101011101000100001
312021021002200
422223220201
51204101121
6140003413
732541510
oct12535041
95237080
102800161
111642891
12b30569
13770700
1452c677
153a4a26
hex2aba21

2800161 has 36 divisors (see below), whose sum is σ = 5024448. Its totient is φ = 1471392.

The previous prime is 2800159. The next prime is 2800219. The reversal of 2800161 is 1610082.

2800161 is a nontrivial binomial coefficient, being equal to C(2367, 2).

It is not a de Polignac number, because 2800161 - 21 = 2800159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2800141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10516 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (139568).

22800161 is an apocalyptic number.

2800161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2800161 is the 2366-th triangular number.

It is an amenable number.

2800161 is a deficient number, since it is larger than the sum of its proper divisors (2224287).

2800161 is a wasteful number, since it uses less digits than its factorization.

2800161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2800161 is about 1673.3681603281. The cubic root of 2800161 is about 140.9486760540.

The spelling of 2800161 in words is "two million, eight hundred thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 263 273 507 789 819 1183 1521 1841 2367 3419 3549 5523 10257 10647 16569 23933 30771 44447 71799 133341 215397 311129 400023 933387 2800161