Search a number
-
+
1027104 = 25313823
BaseRepresentation
bin11111010110000100000
31221011220220
43322300200
5230331404
634003040
711505321
oct3726040
91834826
101027104
11641751
12416480
1329c670
141ca448
151544d9
hexfac20

1027104 has 48 divisors (see below), whose sum is σ = 2907072. Its totient is φ = 315648.

The previous prime is 1027097. The next prime is 1027127. The reversal of 1027104 is 4017201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (60564).

21027104 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 1027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453536).

1027104 is an abundant number, since it is smaller than the sum of its proper divisors (1879968).

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

1027104 is a wasteful number, since it uses less digits than its factorization.

1027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1027104 is about 1013.4613954167. The cubic root of 1027104 is about 100.8954248782.

The spelling of 1027104 in words is "one million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 823 1248 1646 2469 3292 4938 6584 9876 10699 13168 19752 21398 26336 32097 39504 42796 64194 79008 85592 128388 171184 256776 342368 513552 1027104