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1145453760 = 2632511219173
BaseRepresentation
bin100010001000110…
…0011110011000000
32221211101002011100
41010101203303000
54321214010020
6305355014400
740246124223
oct10421436300
92854332140
101145453760
11538640400
1227b73a400
131534069b9
14ac1b15ba
156a863a90
hex44463cc0

1145453760 has 504 divisors, whose sum is σ = 4584893040. Its totient is φ = 261550080.

The previous prime is 1145453759. The next prime is 1145453773. The reversal of 1145453760 is 673545411.

1145453760 is a `hidden beast` number, since 1 + 14 + 54 + 537 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6621034 + ... + 6621206.

It is an arithmetic number, because the mean of its divisors is an integer number (9097010).

Almost surely, 21145453760 is an apocalyptic number.

1145453760 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 1145453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292446520).

1145453760 is an abundant number, since it is smaller than the sum of its proper divisors (3439439280).

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

1145453760 is a wasteful number, since it uses less digits than its factorization.

1145453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1145453760 is about 33844.5528852133. The cubic root of 1145453760 is about 1046.3071362193.

The spelling of 1145453760 in words is "one billion, one hundred forty-five million, four hundred fifty-three thousand, seven hundred sixty".