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1150055064 = 233335914831
BaseRepresentation
bin100010010001100…
…0111001010011000
32222011000211222000
41010203013022120
54323403230224
6310041401000
740333210134
oct10443071230
92864024860
101150055064
115401a3434
12281199160
13154358172
14aca4c3c4
156ae720c9
hex448c7298

1150055064 has 64 divisors (see below), whose sum is σ = 3203712000. Its totient is φ = 382258080.

The previous prime is 1150055017. The next prime is 1150055087. The reversal of 1150055064 is 4605500511.

It is a happy number.

1150055064 is a `hidden beast` number, since 1 + 1 + 50 + 0 + 550 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70129 + ... + 84959.

It is an arithmetic number, because the mean of its divisors is an integer number (50058000).

Almost surely, 21150055064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150055064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601856000).

1150055064 is an abundant number, since it is smaller than the sum of its proper divisors (2053656936).

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

1150055064 is a wasteful number, since it uses less digits than its factorization.

1150055064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15195 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1150055064 is about 33912.4617802955. The cubic root of 1150055064 is about 1047.7062746374.

Adding to 1150055064 its reverse (4605500511), we get a palindrome (5755555575).

It can be divided in two parts, 11500 and 55064, that added together give a square (66564 = 2582).

The spelling of 1150055064 in words is "one billion, one hundred fifty million, fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 14831 19386 25848 29662 38772 44493 59324 77544 88986 118648 133479 177972 266958 355944 400437 533916 800874 1067832 1601748 3203496 5324329 10648658 15972987 21297316 31945974 42594632 47918961 63891948 95837922 127783896 143756883 191675844 287513766 383351688 575027532 1150055064