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2117024 = 25713727
BaseRepresentation
bin1000000100110110100000
310222120000022
420010312200
51020221044
6113213012
723665040
oct10046640
93876008
102117024
111216608
12861168
135917a0
143d1720
152bc3ee
hex204da0

2117024 has 48 divisors (see below), whose sum is σ = 5136768. Its totient is φ = 836352.

The previous prime is 2116997. The next prime is 2117039. The reversal of 2117024 is 4207112.

2117024 is nontrivially palindromic in base 12.

It is a Cunningham number, because it is equal to 14552-1.

It is a junction number, because it is equal to n+sod(n) for n = 2116993 and 2117011.

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 7 ways as a sum of consecutive naturals, for example, 2549 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

22117024 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 2117024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568384).

2117024 is an abundant number, since it is smaller than the sum of its proper divisors (3019744).

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

2117024 is a wasteful number, since it uses less digits than its factorization.

2117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2117024 is about 1454.9996563573. Note that the first 3 decimals coincide. The cubic root of 2117024 is about 128.4030265556.

The spelling of 2117024 in words is "two million, one hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 727 728 1454 1456 2908 2912 5089 5816 9451 10178 11632 18902 20356 23264 37804 40712 66157 75608 81424 132314 151216 162848 264628 302432 529256 1058512 2117024