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2086832 = 241171167
BaseRepresentation
bin111111101011110110000
310221000121002
413331132300
51013234312
6112421132
723511026
oct7753660
93830532
102086832
1111a5960
128477a8
13580b17
143c4716
152b34c2
hex1fd7b0

2086832 has 40 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 929600.

The previous prime is 2086831. The next prime is 2086841. The reversal of 2086832 is 2386802.

It is a junction number, because it is equal to n+sod(n) for n = 2086795 and 2086804.

It is not an unprimeable number, because it can be changed into a prime (2086831) 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, 12413 + ... + 12579.

22086832 is an apocalyptic number.

2086832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

2086832 is an abundant number, since it is smaller than the sum of its proper divisors (2412880).

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

2086832 is a wasteful number, since it uses less digits than its factorization.

2086832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2086832 is about 1444.5871382509. The cubic root of 2086832 is about 127.7896937148.

The spelling of 2086832 in words is "two million, eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 167 176 284 334 568 668 781 1136 1336 1562 1837 2672 3124 3674 6248 7348 11857 12496 14696 23714 29392 47428 94856 130427 189712 260854 521708 1043416 2086832