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1166328528 = 243192355603
BaseRepresentation
bin100010110000100…
…1100001011010000
310000021122121221220
41011201030023100
54342040003103
6311422245040
740621425501
oct10541141320
93007577856
101166328528
115493a8982
12286726780
13157835331
14b0c86ba8
156c5d8c53
hex4584c2d0

1166328528 has 80 divisors (see below), whose sum is σ = 3309550080. Its totient is φ = 352294272.

The previous prime is 1166328523. The next prime is 1166328557. The reversal of 1166328528 is 8258236611.

It is a self number, because there is not a number n which added to its sum of digits gives 1166328528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166328521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6826 + ... + 48777.

It is an arithmetic number, because the mean of its divisors is an integer number (41369376).

Almost surely, 21166328528 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 1166328528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654775040).

1166328528 is an abundant number, since it is smaller than the sum of its proper divisors (2143221552).

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

1166328528 is a wasteful number, since it uses less digits than its factorization.

1166328528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55656 (or 55650 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1166328528 is about 34151.5523512475. The cubic root of 1166328528 is about 1052.6248847623.

The spelling of 1166328528 in words is "one billion, one hundred sixty-six million, three hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 20976 55603 111206 166809 222412 333618 444824 667236 889648 1056457 1278869 1334472 2112914 2557738 2668944 3169371 3836607 4225828 5115476 6338742 7673214 8451656 10230952 12677484 15346428 16903312 20461904 24298511 25354968 30692856 48597022 50709936 61385712 72895533 97194044 145791066 194388088 291582132 388776176 583164264 1166328528