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893116 = 227167191
BaseRepresentation
bin11011010000010111100
31200101010101
43122002330
5212034431
631050444
710406560
oct3320274
91611111
10893116
11560014
12370a24
13253693
141936a0
15129961
hexda0bc

893116 has 24 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 378480.

The previous prime is 893111. The next prime is 893117. The reversal of 893116 is 611398.

893116 = T8 + T9 + ... + T174.

It is a happy number.

893116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

893116 is a nontrivial binomial coefficient, being equal to C(1337, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4581 + ... + 4771.

It is an arithmetic number, because the mean of its divisors is an integer number (75264).

2893116 is an apocalyptic number.

893116 is the 1336-th triangular number.

893116 is the 446-th centered nonagonal number.

It is an amenable number.

893116 is an abundant number, since it is smaller than the sum of its proper divisors (913220).

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

893116 is a wasteful number, since it uses less digits than its factorization.

893116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 893116 is about 945.0481469216. The cubic root of 893116 is about 96.3021441185.

The spelling of 893116 in words is "eight hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 167 191 334 382 668 764 1169 1337 2338 2674 4676 5348 31897 63794 127588 223279 446558 893116