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1079341056 = 21232192367
BaseRepresentation
bin100000001010101…
…0111000000000000
32210012222012120200
41000111113000000
54202302403211
6255034005200
735514150633
oct10025270000
92705865520
101079341056
11504294a02
12261576800
131427c9661
14a34c1c1a
1564b54b56
hex40557000

1079341056 has 312 divisors, whose sum is σ = 3475605120. Its totient is φ = 321159168.

The previous prime is 1079341051. The next prime is 1079341061. The reversal of 1079341056 is 6501439701.

1079341056 is a `hidden beast` number, since 107 + 93 + 410 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1079341051) and next prime (1079341061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1079341056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079341051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16109535 + ... + 16109601.

It is an arithmetic number, because the mean of its divisors is an integer number (11139760).

Almost surely, 21079341056 is an apocalyptic number.

1079341056 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 1079341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737802560).

1079341056 is an abundant number, since it is smaller than the sum of its proper divisors (2396264064).

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

1079341056 is a wasteful number, since it uses less digits than its factorization.

1079341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1079341056 is about 32853.3264069257. The cubic root of 1079341056 is about 1025.7768628894.

The spelling of 1079341056 in words is "one billion, seventy-nine million, three hundred forty-one thousand, fifty-six".