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2101716 = 223279739
BaseRepresentation
bin1000000001000111010100
310221210000100
420001013110
51014223331
6113014100
723602311
oct10010724
93853010
102101716
111206061
12854330
13587826
143c9d08
152b7ae6
hex2011d4

2101716 has 36 divisors (see below), whose sum is σ = 5387200. Its totient is φ = 690768.

The previous prime is 2101703. The next prime is 2101721. The reversal of 2101716 is 6171012.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 3213.

22101716 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 2101716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693600).

2101716 is an abundant number, since it is smaller than the sum of its proper divisors (3285484).

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

2101716 is a wasteful number, since it uses less digits than its factorization.

2101716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2101716 is about 1449.7296299655. The cubic root of 2101716 is about 128.0927875395.

Adding to 2101716 its reverse (6171012), we get a palindrome (8272728).

The spelling of 2101716 in words is "two million, one hundred one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 739 948 1422 1478 2217 2844 2956 4434 6651 8868 13302 26604 58381 116762 175143 233524 350286 525429 700572 1050858 2101716