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16168660 = 2252961457
BaseRepresentation
bin111101101011…
…011011010100
31010102110020021
4331223123110
513114344120
61334314524
7254300644
oct75533324
933373207
1016168660
119143832
1254b8a44
133471571
14220c524
151645aaa
hexf6b6d4

16168660 has 48 divisors (see below), whose sum is σ = 35778960. Its totient is φ = 6128640.

The previous prime is 16168651. The next prime is 16168661. The reversal of 16168660 is 6686161.

It can be written as a sum of positive squares in 8 ways, for example, as 391876 + 15776784 = 626^2 + 3972^2 .

It is a super-2 number, since 2×161686602 = 522851132391200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16168661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35152 + ... + 35608.

It is an arithmetic number, because the mean of its divisors is an integer number (745395).

Almost surely, 216168660 is an apocalyptic number.

16168660 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 16168660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889480).

16168660 is an abundant number, since it is smaller than the sum of its proper divisors (19610300).

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

16168660 is a wasteful number, since it uses less digits than its factorization.

16168660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 16168660 is about 4021.0272319396. The cubic root of 16168660 is about 252.8665264815.

The spelling of 16168660 in words is "sixteen million, one hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 457 580 610 914 1220 1769 1828 2285 3538 4570 7076 8845 9140 13253 17690 26506 27877 35380 53012 55754 66265 111508 132530 139385 265060 278770 557540 808433 1616866 3233732 4042165 8084330 16168660