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1117328256 = 27341197101
BaseRepresentation
bin100001010011001…
…0001001110000000
32212212110011020000
41002212101032000
54242014001011
6302512120000
736455063532
oct10246211600
92785404200
101117328256
11523780290
12272236000
1314a639ca5
14a856d852
156815a356
hex42991380

1117328256 has 320 divisors, whose sum is σ = 3701118960. Its totient is φ = 331776000.

The previous prime is 1117328243. The next prime is 1117328273. The reversal of 1117328256 is 6528237111.

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 1117328256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11062606 + ... + 11062706.

Almost surely, 21117328256 is an apocalyptic number.

1117328256 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 1117328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850559480).

1117328256 is an abundant number, since it is smaller than the sum of its proper divisors (2583790704).

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

1117328256 is a wasteful number, since it uses less digits than its factorization.

1117328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1117328256 is about 33426.4604168614. The cubic root of 1117328256 is about 1037.6723881739.

The spelling of 1117328256 in words is "one billion, one hundred seventeen million, three hundred twenty-eight thousand, two hundred fifty-six".