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1117839744 = 2733732341
BaseRepresentation
bin100001010100000…
…1110000110000000
32212220102010212000
41002220032012000
54242131332434
6302531104000
736462324000
oct10250160600
92786363760
101117839744
11523a9a5aa
12272442000
1314a788a48
14a8664000
156820bb99
hex42a0e180

1117839744 has 512 divisors, whose sum is σ = 4112640000. Its totient is φ = 298045440.

The previous prime is 1117839727. The next prime is 1117839769. The reversal of 1117839744 is 4479387111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (169344) is a multiple of the sum of its prime factors (108).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1117839744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27264364 + ... + 27264404.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 21117839744 is an apocalyptic number.

1117839744 is a gapful number since it is divisible by the number (14) 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 1117839744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320000).

1117839744 is an abundant number, since it is smaller than the sum of its proper divisors (2994800256).

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

1117839744 is an equidigital number, since it uses as much as digits as its factorization.

1117839744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1117839744 is about 33434.1104861487. The cubic root of 1117839744 is about 1037.8307051241.

The spelling of 1117839744 in words is "one billion, one hundred seventeen million, eight hundred thirty-nine thousand, seven hundred forty-four".