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2080832 = 26134161
BaseRepresentation
bin111111100000001000000
310220201100212
413330001000
51013041312
6112333252
723454365
oct7740100
93821325
102080832
1111a13a6
12844228
1357b180
143c246c
152b1822
hex1fc040

2080832 has 56 divisors (see below), whose sum is σ = 4629912. Its totient is φ = 921600.

The previous prime is 2080807. The next prime is 2080847. The reversal of 2080832 is 2380802.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 1784896 = 544^2 + 1336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2080798 and 2080807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34082 + ... + 34142.

It is an arithmetic number, because the mean of its divisors is an integer number (82677).

22080832 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 2080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314956).

2080832 is an abundant number, since it is smaller than the sum of its proper divisors (2549080).

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

2080832 is a wasteful number, since it uses less digits than its factorization.

2080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2080832 is about 1442.5089254490. The cubic root of 2080832 is about 127.6671037198.

It can be divided in two parts, 20808 and 32, that multiplied together give a square (665856 = 8162).

The spelling of 2080832 in words is "two million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 61 64 82 104 122 164 208 244 328 416 488 533 656 793 832 976 1066 1312 1586 1952 2132 2501 2624 3172 3904 4264 5002 6344 8528 10004 12688 17056 20008 25376 32513 34112 40016 50752 65026 80032 130052 160064 260104 520208 1040416 2080832