Search a number
-
+
1156007168 = 285385201
BaseRepresentation
bin100010011100111…
…0100010100000000
32222120020020201022
41010321310110000
54331414212133
6310413125012
740434620201
oct10471642400
92876206638
101156007168
11543599328
12283189768
13155660414
14ad75b5a8
156b74a998
hex44e74500

1156007168 has 36 divisors (see below), whose sum is σ = 2351063988. Its totient is φ = 567091200.

The previous prime is 1156007087. The next prime is 1156007179. The reversal of 1156007168 is 8617006511.

It can be written as a sum of positive squares in 2 ways, for example, as 776848384 + 379158784 = 27872^2 + 19472^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 29033 + ... + 56168.

It is an arithmetic number, because the mean of its divisors is an integer number (65307333).

Almost surely, 21156007168 is an apocalyptic number.

It is an amenable number.

1156007168 is an abundant number, since it is smaller than the sum of its proper divisors (1195056820).

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

1156007168 is an frugal number, since it uses more digits than its factorization.

1156007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85270 (or 85256 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1156007168 is about 34000.1054116013. The cubic root of 1156007168 is about 1049.5106315194.

The spelling of 1156007168 in words is "one billion, one hundred fifty-six million, seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 85201 170402 340804 681608 1363216 2726432 4515653 5452864 9031306 10905728 18062612 21811456 36125224 72250448 144500896 289001792 578003584 1156007168