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1116360960 = 2835111319107
BaseRepresentation
bin100001010001010…
…0101000100000000
32212210122000100020
41002202211010000
54241242022320
6302435253440
736443624451
oct10242450400
92783560306
101116360960
1152317a570
12271a4a280
1314a38b920
14a839b128
1568018940
hex428a5100

1116360960 has 576 divisors, whose sum is σ = 4450360320. Its totient is φ = 234455040.

The previous prime is 1116360919. The next prime is 1116360983. The reversal of 1116360960 is 690636111.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10433227 + ... + 10433333.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 21116360960 is an apocalyptic number.

1116360960 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 1116360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

1116360960 is an abundant number, since it is smaller than the sum of its proper divisors (3333999360).

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

1116360960 is a wasteful number, since it uses less digits than its factorization.

1116360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1116360960 is about 33411.9882676862. The cubic root of 1116360960 is about 1037.3728563408.

The spelling of 1116360960 in words is "one billion, one hundred sixteen million, three hundred sixty thousand, nine hundred sixty".