Search a number
-
+
1061088 = 25371579
BaseRepresentation
bin100000011000011100000
31222220112120
410003003200
5232423323
634424240
712006360
oct4030340
91886476
101061088
11665236
12432080
132b1c82
141d89a0
1515e5e3
hex1030e0

1061088 has 48 divisors (see below), whose sum is σ = 3185280. Its totient is φ = 302976.

The previous prime is 1061087. The next prime is 1061101. The reversal of 1061088 is 8801601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10610882 = 2251815487488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061087) 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, 118 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (66360).

21061088 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 1061088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592640).

1061088 is an abundant number, since it is smaller than the sum of its proper divisors (2124192).

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

1061088 is a wasteful number, since it uses less digits than its factorization.

1061088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1061088 is about 1030.0912580932. The cubic root of 1061088 is about 101.9961551799.

Adding to 1061088 its reverse (8801601), we get a palindrome (9862689).

The spelling of 1061088 in words is "one million, sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1579 3158 4737 6316 9474 11053 12632 18948 22106 25264 33159 37896 44212 50528 66318 75792 88424 132636 151584 176848 265272 353696 530544 1061088