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1116944640 = 28385719
BaseRepresentation
bin100001010010011…
…0011100100000000
32212211201200000000
41002210303210000
54241414212030
6302500000000
736451605240
oct10244634400
92784650000
101116944640
11523539049
12272090000
1314a5344b6
14a84adb20
15680d1860
hex42933900

1116944640 has 648 divisors, whose sum is σ = 4827600960. Its totient is φ = 241864704.

The previous prime is 1116944617. The next prime is 1116944711. The reversal of 1116944640 is 464496111.

1116944640 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 9 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a junction number, because it is equal to n+sod(n) for n = 1116944595 and 1116944604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58786551 + ... + 58786569.

Almost surely, 21116944640 is an apocalyptic number.

1116944640 is a gapful number since it is divisible by the number (10) 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 1116944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413800480).

1116944640 is an abundant number, since it is smaller than the sum of its proper divisors (3710656320).

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

1116944640 is an frugal number, since it uses more digits than its factorization.

1116944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1116944640 is about 33420.7217157260. The cubic root of 1116944640 is about 1037.5536187511.

The spelling of 1116944640 in words is "one billion, one hundred sixteen million, nine hundred forty-four thousand, six hundred forty".