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887120 = 24513853
BaseRepresentation
bin11011000100101010000
31200001220022
43120211100
5211341440
631003012
710353233
oct3304520
91601808
10887120
11556563
12369468
13250a30
1419141a
15127cb5
hexd8950

887120 has 40 divisors (see below), whose sum is σ = 2223816. Its totient is φ = 327168.

The previous prime is 887113. The next prime is 887141. The reversal of 887120 is 21788.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 868624 = 136^2 + 932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 887120.

It is a congruent number.

It is an unprimeable number.

887120 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 7 ways as a sum of consecutive naturals, for example, 614 + ... + 1466.

2887120 is an apocalyptic number.

887120 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 887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111908).

887120 is an abundant number, since it is smaller than the sum of its proper divisors (1336696).

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

887120 is a wasteful number, since it uses less digits than its factorization.

887120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 887120 is about 941.8704794185. The cubic root of 887120 is about 96.0861495189.

The spelling of 887120 in words is "eight hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 853 1040 1706 3412 4265 6824 8530 11089 13648 17060 22178 34120 44356 55445 68240 88712 110890 177424 221780 443560 887120