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2106728 = 231347431
BaseRepresentation
bin1000000010010101101000
310222000212222
420002111220
51014403403
6113053212
723623031
oct10022550
93860788
102106728
1112098a8
12857208
13589bb0
143cba88
152b9338
hex202568

2106728 has 32 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 949440.

The previous prime is 2106679. The next prime is 2106733. The reversal of 2106728 is 8276012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2106697 and 2106706.

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, 4673 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22106728 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 2106728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

2106728 is an abundant number, since it is smaller than the sum of its proper divisors (2247832).

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

2106728 is a wasteful number, since it uses less digits than its factorization.

2106728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2106728 is about 1451.4571988178. The cubic root of 2106728 is about 128.1945284337.

The spelling of 2106728 in words is "two million, one hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 431 611 862 1222 1724 2444 3448 4888 5603 11206 20257 22412 40514 44824 81028 162056 263341 526682 1053364 2106728