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1117463040 = 2934517317
BaseRepresentation
bin100001010011011…
…0010001000000000
32212212201000010000
41002212302020000
54242032304130
6302515040000
736456164511
oct10246621000
92785630100
101117463040
11523862581
122722a0000
1314a686445
14a85a6a08
1568185260
hex429b2200

1117463040 has 400 divisors, whose sum is σ = 4251203352. Its totient is φ = 279576576.

The previous prime is 1117463021. The next prime is 1117463041. The reversal of 1117463040 is 403647111.

It is a happy number.

1117463040 is a `hidden beast` number, since 11 + 17 + 4 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 772395264 + 345067776 = 27792^2 + 18576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1117462995 and 1117463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117463041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3524962 + ... + 3525278.

Almost surely, 21117463040 is an apocalyptic number.

1117463040 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 1117463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125601676).

1117463040 is an abundant number, since it is smaller than the sum of its proper divisors (3133740312).

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

1117463040 is an equidigital number, since it uses as much as digits as its factorization.

1117463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1117463040 is about 33428.4764833816. The cubic root of 1117463040 is about 1037.7141115174.

The spelling of 1117463040 in words is "one billion, one hundred seventeen million, four hundred sixty-three thousand, forty".