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1166130 = 23357617
BaseRepresentation
bin100011100101100110010
32012020122000
410130230302
5244304010
640554430
712624540
oct4345462
92166560
101166130
11727149
12482a16
1331aa24
14224d90
151807c0
hex11cb32

1166130 has 64 divisors (see below), whose sum is σ = 3559680. Its totient is φ = 266112.

The previous prime is 1166107. The next prime is 1166131. The reversal of 1166130 is 316611.

1166130 is a `hidden beast` number, since 1 + 1 + 661 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1166131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (55620).

21166130 is an apocalyptic number.

1166130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779840).

1166130 is an abundant number, since it is smaller than the sum of its proper divisors (2393550).

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

1166130 is a wasteful number, since it uses less digits than its factorization.

1166130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1166130 is about 1079.8749927654. The cubic root of 1166130 is about 105.2565156774.

It can be divided in two parts, 1166 and 130, that added together give a 4-th power (1296 = 64).

The spelling of 1166130 in words is "one million, one hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 617 630 945 1234 1851 1890 3085 3702 4319 5553 6170 8638 9255 11106 12957 16659 18510 21595 25914 27765 33318 38871 43190 55530 64785 77742 83295 116613 129570 166590 194355 233226 388710 583065 1166130