Search a number
-
+
845940 = 223523613
BaseRepresentation
bin11001110100001110100
31120222102010
43032201310
5204032230
630044220
710122204
oct3164164
91528363
10845940
11528627
12349670
13238074
14180404
1511a9b0
hexce874

845940 has 48 divisors (see below), whose sum is σ = 2475648. Its totient is φ = 215424.

The previous prime is 845927. The next prime is 845941. The reversal of 845940 is 49548.

845940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8459402 = 1431228967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 845898 and 845907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (51576).

2845940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237824).

845940 is an abundant number, since it is smaller than the sum of its proper divisors (1629708).

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

845940 is a wasteful number, since it uses less digits than its factorization.

845940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 845940 is about 919.7499660234. The cubic root of 845940 is about 94.5757629878.

The spelling of 845940 in words is "eight hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 613 690 1226 1380 1839 2452 3065 3678 6130 7356 9195 12260 14099 18390 28198 36780 42297 56396 70495 84594 140990 169188 211485 281980 422970 845940