Search a number
-
+
1163425536 = 283271331179
BaseRepresentation
bin100010101011000…
…0111011100000000
310000002012010210200
41011112013130000
54340314104121
6311240125200
740554645120
oct10526073400
93002163720
101163425536
115477a5909
12285766800
13157059ba0
14b072cc80
156c213a26
hex45587700

1163425536 has 432 divisors, whose sum is σ = 4285532160. Its totient is φ = 295280640.

The previous prime is 1163425531. The next prime is 1163425579. The reversal of 1163425536 is 6355243611.

1163425536 is a `hidden beast` number, since 1 + 1 + 63 + 42 + 553 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1163425536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163425531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499495 + ... + 6499673.

Almost surely, 21163425536 is an apocalyptic number.

1163425536 is a gapful number since it is divisible by the number (16) 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 1163425536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080).

1163425536 is an abundant number, since it is smaller than the sum of its proper divisors (3122106624).

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

1163425536 is a wasteful number, since it uses less digits than its factorization.

1163425536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1163425536 is about 34109.0242604505. The cubic root of 1163425536 is about 1051.7508313199.

The spelling of 1163425536 in words is "one billion, one hundred sixty-three million, four hundred twenty-five thousand, five hundred thirty-six".