Search a number
-
+
881960 = 235171297
BaseRepresentation
bin11010111010100101000
31122210211012
43113110220
5211210320
630523052
710332212
oct3272450
91583735
10881960
115526a2
12366488
1324b591
1418d5b2
151264c5
hexd7528

881960 has 32 divisors (see below), whose sum is σ = 2102760. Its totient is φ = 331776.

The previous prime is 881953. The next prime is 881963. The reversal of 881960 is 69188.

881960 = T324 + T325 + ... + T339.

881960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 879844 + 2116 = 938^2 + 46^2 .

It is not an unprimeable number, because it can be changed into a prime (881963) by changing a digit.

881960 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, 32 + ... + 1328.

2881960 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 881960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051380).

881960 is an abundant number, since it is smaller than the sum of its proper divisors (1220800).

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

881960 is a wasteful number, since it uses less digits than its factorization.

881960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 881960 is about 939.1272544230. The cubic root of 881960 is about 95.8994897117.

It can be divided in two parts, 88 and 1960, that added together give a 11-th power (2048 = 211).

The spelling of 881960 in words is "eight hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1297 2594 5188 6485 10376 12970 22049 25940 44098 51880 88196 110245 176392 220490 440980 881960