Search a number
-
+
1145331072 = 273217233251
BaseRepresentation
bin100010001000100…
…0101110110000000
32221211010211212100
41010101011312000
54321201043242
6305352230400
740245103434
oct10421056600
92854124770
101145331072
11538567206
1227b69b400
13153392bc2
14ac17c9c4
156a83c54c
hex44445d80

1145331072 has 192 divisors, whose sum is σ = 3518620560. Its totient is φ = 356352000.

The previous prime is 1145331071. The next prime is 1145331107. The reversal of 1145331072 is 2701335411.

1145331072 is a `hidden beast` number, since 114 + 533 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145331071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4562947 + ... + 4563197.

Almost surely, 21145331072 is an apocalyptic number.

1145331072 is a gapful number since it is divisible by the number (12) 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 1145331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759310280).

1145331072 is an abundant number, since it is smaller than the sum of its proper divisors (2373289488).

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

1145331072 is a wasteful number, since it uses less digits than its factorization.

1145331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1145331072 is about 33842.7403145785. The cubic root of 1145331072 is about 1046.2697787057.

Adding to 1145331072 its reverse (2701335411), we get a palindrome (3846666483).

The spelling of 1145331072 in words is "one billion, one hundred forty-five million, three hundred thirty-one thousand, seventy-two".