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1166641300 = 2252115320011
BaseRepresentation
bin100010110001001…
…1000100010010100
310000022020112000001
41011202120202110
54342130010200
6311433101044
740624200406
oct10542304224
93008215001
101166641300
115495a1970
12286857784
131579147c6
14b0d28b76
156c64b76a
hex45898894

1166641300 has 72 divisors (see below), whose sum is σ = 2814007392. Its totient is φ = 416208000.

The previous prime is 1166641291. The next prime is 1166641309. The reversal of 1166641300 is 31466611.

It is an interprime number because it is at equal distance from previous prime (1166641291) and next prime (1166641309).

It is a super-2 number, since 2×11666413002 = 2722103845731380000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166641309) 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 23 ways as a sum of consecutive naturals, for example, 48295 + ... + 68305.

It is an arithmetic number, because the mean of its divisors is an integer number (39083436).

Almost surely, 21166641300 is an apocalyptic number.

1166641300 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 1166641300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407003696).

1166641300 is an abundant number, since it is smaller than the sum of its proper divisors (1647366092).

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

1166641300 is a wasteful number, since it uses less digits than its factorization.

1166641300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1166641300 is about 34156.1312212024. The cubic root of 1166641300 is about 1052.7189697927.

The spelling of 1166641300 in words is "one billion, one hundred sixty-six million, six hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 20011 29150 40022 58300 80044 100055 200110 220121 400220 440242 500275 880484 1000550 1060583 1100605 2001100 2121166 2201210 4242332 4402420 5302915 5503025 10605830 11006050 11666413 21211660 22012100 23332826 26514575 46665652 53029150 58332065 106058300 116664130 233328260 291660325 583320650 1166641300