Search a number
-
+
870968 = 237103151
BaseRepresentation
bin11010100101000111000
31122020202002
43110220320
5210332333
630400132
710255160
oct3245070
91566662
10870968
1154540a
12360048
13246587
141895a0
151230e8
hexd4a38

870968 has 32 divisors (see below), whose sum is σ = 1896960. Its totient is φ = 367200.

The previous prime is 870967. The next prime is 870977. The reversal of 870968 is 869078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870967) 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, 5693 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (59280).

2870968 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 870968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948480).

870968 is an abundant number, since it is smaller than the sum of its proper divisors (1025992).

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

870968 is a wasteful number, since it uses less digits than its factorization.

870968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 870968 is about 933.2566635176. The cubic root of 870968 is about 95.4994197858.

The spelling of 870968 in words is "eight hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 103 151 206 302 412 604 721 824 1057 1208 1442 2114 2884 4228 5768 8456 15553 31106 62212 108871 124424 217742 435484 870968