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100716 = 223711109
BaseRepresentation
bin11000100101101100
312010011020
4120211230
511210331
62054140
7566430
oct304554
9163136
10100716
1169740
124a350
1336ac5
14289c0
151ec96
hex1896c

100716 has 48 divisors (see below), whose sum is σ = 295680. Its totient is φ = 25920.

The previous prime is 100703. The next prime is 100733. The reversal of 100716 is 617001.

Adding to 100716 its reverse (617001), we get a palindrome (717717).

It is a junction number, because it is equal to n+sod(n) for n = 100695 and 100704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2100716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

100716 is an abundant number, since it is smaller than the sum of its proper divisors (194964).

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

100716 is a wasteful number, since it uses less digits than its factorization.

100716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 100716 is about 317.3578421908. The cubic root of 100716 is about 46.5264042432.

The spelling of 100716 in words is "one hundred thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1308 1526 2289 2398 3052 3597 4578 4796 7194 8393 9156 14388 16786 25179 33572 50358 100716