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870468 = 223172251
BaseRepresentation
bin11010100100001000100
31122020001120
43110201010
5210323333
630353540
710253544
oct3244104
91566046
10870468
11544aa5
1235b8b0
13246291
14189324
15122db3
hexd4844

870468 has 36 divisors (see below), whose sum is σ = 2166192. Its totient is φ = 272000.

The previous prime is 870461. The next prime is 870479. The reversal of 870468 is 864078.

It is not an unprimeable number, because it can be changed into a prime (870461) by changing a digit.

870468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3343 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (60172).

2870468 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 870468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083096).

870468 is an abundant number, since it is smaller than the sum of its proper divisors (1295724).

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

870468 is a wasteful number, since it uses less digits than its factorization.

870468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 870468 is about 932.9887459128. The cubic root of 870468 is about 95.4811417128.

The spelling of 870468 in words is "eight hundred seventy thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 251 289 502 578 753 867 1004 1156 1506 1734 3012 3468 4267 8534 12801 17068 25602 51204 72539 145078 217617 290156 435234 870468