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2080512 = 2833743
BaseRepresentation
bin111111011111100000000
310220200221000
413323330000
51013034022
6112332000
723453430
oct7737400
93820830
102080512
1111a1135
12844000
1357ac95
143c22c0
152b16ac
hex1fbf00

2080512 has 144 divisors (see below), whose sum is σ = 7194880. Its totient is φ = 580608.

The previous prime is 2080501. The next prime is 2080531. The reversal of 2080512 is 2150802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×20805123 = 27016676958938333184, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48363 + ... + 48405.

22080512 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 2080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597440).

2080512 is an abundant number, since it is smaller than the sum of its proper divisors (5114368).

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

2080512 is an equidigital number, since it uses as much as digits as its factorization.

2080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2080512 is about 1442.3980033264. The cubic root of 2080512 is about 127.6605589711.

The spelling of 2080512 in words is "two million, eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 54 56 63 64 72 84 86 96 108 112 126 128 129 144 168 172 189 192 216 224 252 256 258 288 301 336 344 378 384 387 432 448 504 516 576 602 672 688 756 768 774 864 896 903 1008 1032 1152 1161 1204 1344 1376 1512 1548 1728 1792 1806 2016 2064 2304 2322 2408 2688 2709 2752 3024 3096 3456 3612 4032 4128 4644 4816 5376 5418 5504 6048 6192 6912 7224 8064 8127 8256 9288 9632 10836 11008 12096 12384 14448 16128 16254 16512 18576 19264 21672 24192 24768 28896 32508 33024 37152 38528 43344 48384 49536 57792 65016 74304 77056 86688 99072 115584 130032 148608 173376 231168 260064 297216 346752 520128 693504 1040256 2080512