Search a number
-
+
1079104 = 26131297
BaseRepresentation
bin100000111011101000000
32000211020211
410013131000
5234012404
635043504
712113035
oct4073500
92024224
101079104
11677824
12440594
132ba230
1420138c
15164b04
hex107740

1079104 has 28 divisors (see below), whose sum is σ = 2307844. Its totient is φ = 497664.

The previous prime is 1079101. The next prime is 1079107. The reversal of 1079104 is 4019701.

It is an interprime number because it is at equal distance from previous prime (1079101) and next prime (1079107).

It can be written as a sum of positive squares in 2 ways, for example, as 719104 + 360000 = 848^2 + 600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 1480.

It is an arithmetic number, because the mean of its divisors is an integer number (82423).

21079104 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 1079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153922).

1079104 is an abundant number, since it is smaller than the sum of its proper divisors (1228740).

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

1079104 is a wasteful number, since it uses less digits than its factorization.

1079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1079104 is about 1038.7993068923. The cubic root of 1079104 is about 102.5701760164.

The spelling of 1079104 in words is "one million, seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1297 2594 5188 10376 16861 20752 33722 41504 67444 83008 134888 269776 539552 1079104