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1166004 = 223272661
BaseRepresentation
bin100011100101010110100
32012020110100
410130222310
5244303004
640554100
712624300
oct4345264
92166410
101166004
11727044
12482930
1331a958
14224d00
15180739
hex11cab4

1166004 has 54 divisors (see below), whose sum is σ = 3433794. Its totient is φ = 332640.

The previous prime is 1165993. The next prime is 1166021. The reversal of 1166004 is 4006611.

1166004 is a `hidden beast` number, since 1 + 1 + 660 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 63504 = 1050^2 + 252^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1434 + ... + 2094.

21166004 is an apocalyptic number.

1166004 is a gapful number since it is divisible by the number (14) 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 1166004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716897).

1166004 is an abundant number, since it is smaller than the sum of its proper divisors (2267790).

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

1166004 is a wasteful number, since it uses less digits than its factorization.

1166004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1166004 is about 1079.8166511033. The cubic root of 1166004 is about 105.2527245624.

The spelling of 1166004 in words is "one million, one hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 661 882 1322 1764 1983 2644 3966 4627 5949 7932 9254 11898 13881 18508 23796 27762 32389 41643 55524 64778 83286 97167 129556 166572 194334 291501 388668 583002 1166004