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2106832 = 247131447
BaseRepresentation
bin1000000010010111010000
310222001000211
420002113100
51014404312
6113053504
723623240
oct10022720
93861024
102106832
111209992
12857294
13589c60
143cbb20
152b93a7
hex2025d0

2106832 has 40 divisors (see below), whose sum is σ = 5027456. Its totient is φ = 832896.

The previous prime is 2106829. The next prime is 2106833. The reversal of 2106832 is 2386012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106833) by changing a digit.

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, 733 + ... + 2179.

22106832 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 2106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513728).

2106832 is an abundant number, since it is smaller than the sum of its proper divisors (2920624).

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

2106832 is a wasteful number, since it uses less digits than its factorization.

2106832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2106832 is about 1451.4930244407. The cubic root of 2106832 is about 128.1966378678.

The spelling of 2106832 in words is "two million, one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1447 1456 2894 5788 10129 11576 18811 20258 23152 37622 40516 75244 81032 131677 150488 162064 263354 300976 526708 1053416 2106832