Search a number
-
+
1156328064 = 27321003757
BaseRepresentation
bin100010011101100…
…0010101010000000
32222120211112220100
41010323002222000
54332004444224
6310424042400
740440424563
oct10473025200
92876745810
101156328064
11543798431
12283303400
131557434b8
14ad8024da
156b7b0ac9
hex44ec2a80

1156328064 has 48 divisors (see below), whose sum is σ = 3327457770. Its totient is φ = 385442304.

The previous prime is 1156328053. The next prime is 1156328071. The reversal of 1156328064 is 4608236511.

It is a happy number.

1156328064 is a `hidden beast` number, since 1 + 15 + 632 + 8 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1137038400 + 19289664 = 33720^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 500727 + ... + 503030.

Almost surely, 21156328064 is an apocalyptic number.

It is an amenable number.

1156328064 is an abundant number, since it is smaller than the sum of its proper divisors (2171129706).

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

1156328064 is a wasteful number, since it uses less digits than its factorization.

1156328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003777 (or 1003762 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1156328064 is about 34004.8241283498. The cubic root of 1156328064 is about 1049.6077337448.

The spelling of 1156328064 in words is "one billion, one hundred fifty-six million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1003757 2007514 3011271 4015028 6022542 8030056 9033813 12045084 16060112 18067626 24090168 32120224 36135252 48180336 64240448 72270504 96360672 128480896 144541008 192721344 289082016 385442688 578164032 1156328064