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1150133040 = 243357294361
BaseRepresentation
bin100010010001101…
…1010001100110000
32222011011210221000
41010203122030300
54323413224130
6310043202000
740333653360
oct10443321460
92864153830
101150133040
11540246a81
12281216300
131543847c4
14aca6c9a0
156ae8a260
hex448da330

1150133040 has 640 divisors, whose sum is σ = 4871116800. Its totient is φ = 243855360.

The previous prime is 1150133021. The next prime is 1150133051. The reversal of 1150133040 is 403310511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18854610 + ... + 18854670.

It is an arithmetic number, because the mean of its divisors is an integer number (7611120).

Almost surely, 21150133040 is an apocalyptic number.

1150133040 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 1150133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435558400).

1150133040 is an abundant number, since it is smaller than the sum of its proper divisors (3720983760).

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

1150133040 is a wasteful number, since it uses less digits than its factorization.

1150133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1150133040 is about 33913.6114266824. The cubic root of 1150133040 is about 1047.7299529524.

Adding to 1150133040 its reverse (403310511), we get a palindrome (1553443551).

The spelling of 1150133040 in words is "one billion, one hundred fifty million, one hundred thirty-three thousand, forty".