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1116630 = 232519653
BaseRepresentation
bin100010000100111010110
32002201201200
410100213112
5241213010
635533330
712330324
oct4204726
92081650
101116630
116a2a39
1245a246
13301338
14210d14
15170cc0
hex1109d6

1116630 has 48 divisors (see below), whose sum is σ = 3060720. Its totient is φ = 281664.

The previous prime is 1116601. The next prime is 1116631. The reversal of 1116630 is 366111.

1116630 is a `hidden beast` number, since 1 + 1 + 1 + 663 + 0 = 666.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (63765).

21116630 is an apocalyptic number.

1116630 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 1116630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530360).

1116630 is an abundant number, since it is smaller than the sum of its proper divisors (1944090).

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

1116630 is a wasteful number, since it uses less digits than its factorization.

1116630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

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

The square root of 1116630 is about 1056.7071495925. The cubic root of 1116630 is about 103.7456184340.

It can be divided in two parts, 11 and 16630, that added together give a square (16641 = 1292).

The spelling of 1116630 in words is "one million, one hundred sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 653 855 1306 1710 1959 3265 3918 5877 6530 9795 11754 12407 19590 24814 29385 37221 58770 62035 74442 111663 124070 186105 223326 372210 558315 1116630