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2117696 = 26729163
BaseRepresentation
bin1000000101000001000000
310222120221012
420011001000
51020231241
6113220052
724000020
oct10050100
93876835
102117696
111217069
12861628
13591b99
143d1a80
152bc6eb
hex205040

2117696 has 56 divisors (see below), whose sum is σ = 4998720. Its totient is φ = 870912.

The previous prime is 2117677. The next prime is 2117699. The reversal of 2117696 is 6967112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2117699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12911 + ... + 13073.

22117696 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 2117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499360).

2117696 is an abundant number, since it is smaller than the sum of its proper divisors (2881024).

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

2117696 is a wasteful number, since it uses less digits than its factorization.

2117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 4536, while the sum is 32.

The square root of 2117696 is about 1455.2305659242. The cubic root of 2117696 is about 128.4166113025.

The spelling of 2117696 in words is "two million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 163 203 224 232 326 406 448 464 652 812 928 1141 1304 1624 1856 2282 2608 3248 4564 4727 5216 6496 9128 9454 10432 12992 18256 18908 33089 36512 37816 66178 73024 75632 132356 151264 264712 302528 529424 1058848 2117696