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2680832 = 21171117
BaseRepresentation
bin1010001110100000000000
312001012102002
422032200000
51141241312
6133243132
731533560
oct12164000
95035362
102680832
111571170
12a934a8
1372b2bb
144dada0
1537e4c2
hex28e800

2680832 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 983040.

The previous prime is 2680831. The next prime is 2680837. The reversal of 2680832 is 2380862.

It is a junction number, because it is equal to n+sod(n) for n = 2680795 and 2680804.

It is not an unprimeable number, because it can be changed into a prime (2680831) 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, 157688 + ... + 157704.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22680832 is an apocalyptic number.

2680832 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 2680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2680832 is an abundant number, since it is smaller than the sum of its proper divisors (4395328).

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

2680832 is a wasteful number, since it uses less digits than its factorization.

2680832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

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

The square root of 2680832 is about 1637.3246470997. The cubic root of 2680832 is about 138.9173637143.

The spelling of 2680832 in words is "two million, six hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 256 272 308 352 374 448 476 512 544 616 704 748 896 952 1024 1088 1232 1309 1408 1496 1792 1904 2048 2176 2464 2618 2816 2992 3584 3808 4352 4928 5236 5632 5984 7168 7616 8704 9856 10472 11264 11968 14336 15232 17408 19712 20944 22528 23936 30464 34816 39424 41888 47872 60928 78848 83776 95744 121856 157696 167552 191488 243712 335104 382976 670208 1340416 2680832