Search a number
-
+
1079428896 = 253371313729
BaseRepresentation
bin100000001010110…
…1100011100100000
32210020010200002000
41000111230130200
54202313211041
6255035524000
735514665010
oct10025543440
92706120060
101079428896
115043449a7
122615b9600
1314282a630
14a3505c40
1564b70bb6
hex4056c720

1079428896 has 192 divisors, whose sum is σ = 3875155200. Its totient is φ = 284663808.

The previous prime is 1079428879. The next prime is 1079428907. The reversal of 1079428896 is 6988249701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71760 + ... + 85488.

It is an arithmetic number, because the mean of its divisors is an integer number (20183100).

Almost surely, 21079428896 is an apocalyptic number.

1079428896 is a gapful number since it is divisible by the number (16) 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 1079428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937577600).

1079428896 is an abundant number, since it is smaller than the sum of its proper divisors (2795726304).

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

1079428896 is a wasteful number, since it uses less digits than its factorization.

1079428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1079428896 is about 32854.6632306587. The cubic root of 1079428896 is about 1025.8046890632.

The spelling of 1079428896 in words is "one billion, seventy-nine million, four hundred twenty-eight thousand, eight hundred ninety-six".