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2117104 = 241123523
BaseRepresentation
bin1000000100110111110000
310222120010021
420010313300
51020221404
6113213224
723665213
oct10046760
93876107
102117104
111216680
12861214
13591832
143d177a
152bc454
hex204df0

2117104 has 40 divisors (see below), whose sum is σ = 4678272. Its totient is φ = 918720.

The previous prime is 2117099. The next prime is 2117119. The reversal of 2117104 is 4017112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 4309.

22117104 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 2117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339136).

2117104 is an abundant number, since it is smaller than the sum of its proper divisors (2561168).

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

2117104 is a wasteful number, since it uses less digits than its factorization.

2117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 2117104 is about 1455.0271475131. The cubic root of 2117104 is about 128.4046439381.

The spelling of 2117104 in words is "two million, one hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 523 1012 1046 2024 2092 4048 4184 5753 8368 11506 12029 23012 24058 46024 48116 92048 96232 132319 192464 264638 529276 1058552 2117104