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1166475820 = 2252322711171
BaseRepresentation
bin100010110000111…
…0000001000101100
310000021221010000011
41011201300020230
54342104211240
6311425343004
740622611066
oct10541601054
93007833004
101166475820
11549499604
12286797a64
131578873a3
14b0cc4736
156c6176ea
hex4587022c

1166475820 has 48 divisors (see below), whose sum is σ = 2567593728. Its totient is φ = 444297920.

The previous prime is 1166475811. The next prime is 1166475839. The reversal of 1166475820 is 285746611.

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 15 ways as a sum of consecutive naturals, for example, 98835 + ... + 110005.

It is an arithmetic number, because the mean of its divisors is an integer number (53491536).

Almost surely, 21166475820 is an apocalyptic number.

1166475820 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 1166475820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283796864).

1166475820 is an abundant number, since it is smaller than the sum of its proper divisors (1401117908).

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

1166475820 is a wasteful number, since it uses less digits than its factorization.

1166475820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1166475820 is about 34153.7087297998. The cubic root of 1166475820 is about 1052.6691938041.

The spelling of 1166475820 in words is "one billion, one hundred sixty-six million, four hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 227 230 454 460 908 1135 2270 4540 5221 10442 11171 20884 22342 26105 44684 52210 55855 104420 111710 223420 256933 513866 1027732 1284665 2535817 2569330 5071634 5138660 10143268 12679085 25358170 50716340 58323791 116647582 233295164 291618955 583237910 1166475820