Search a number
-
+
845040 = 24357503
BaseRepresentation
bin11001110010011110000
31120221011210
43032103300
5204020130
630040120
710116450
oct3162360
91527153
10845040
11527989
12349040
13237831
1417dd60
1511a5b0
hexce4f0

845040 has 80 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 192768.

The previous prime is 845027. The next prime is 845041. The reversal of 845040 is 40548.

845040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 844998 and 845016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845041) by changing a digit.

845040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429 + ... + 1931.

2845040 is an apocalyptic number.

845040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

845040 is an abundant number, since it is smaller than the sum of its proper divisors (2154768).

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

845040 is a wasteful number, since it uses less digits than its factorization.

845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 845040 is about 919.2605724168. The cubic root of 845040 is about 94.5422112031.

Adding to 845040 its reverse (40548), we get a palindrome (885588).

The spelling of 845040 in words is "eight hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 503 560 840 1006 1509 1680 2012 2515 3018 3521 4024 5030 6036 7042 7545 8048 10060 10563 12072 14084 15090 17605 20120 21126 24144 28168 30180 35210 40240 42252 52815 56336 60360 70420 84504 105630 120720 140840 169008 211260 281680 422520 845040