Search a number
-
+
2112894 = 232741409
BaseRepresentation
bin1000000011110101111110
310222100100100
420003311332
51020103034
6113141530
723650020
oct10036576
93870310
102112894
1112134a3
1285a8a6
1358c944
143d0010
152bb099
hex203d7e

2112894 has 48 divisors (see below), whose sum is σ = 5372640. Its totient is φ = 587520.

The previous prime is 2112893. The next prime is 2112919. The reversal of 2112894 is 4982112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112893) 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, 4962 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

22112894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686320).

2112894 is an abundant number, since it is smaller than the sum of its proper divisors (3259746).

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

2112894 is a wasteful number, since it uses less digits than its factorization.

2112894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2112894 is about 1453.5797191761. The cubic root of 2112894 is about 128.3194737755.

It can be divided in two parts, 2 and 112894, that added together give a square (112896 = 3362).

The spelling of 2112894 in words is "two million, one hundred twelve thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 409 574 738 818 861 1227 1722 2454 2583 2863 3681 5166 5726 7362 8589 16769 17178 25767 33538 50307 51534 100614 117383 150921 234766 301842 352149 704298 1056447 2112894