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2080262720 = 26553173709
BaseRepresentation
bin111101111111110…
…0100101001000000
312100222101021222102
41323333210221000
513230021401340
6542231125532
7102356640614
oct17377445100
95328337872
102080262720
11978288198
124a08138a8
13271c9a1b3
1415a3cd344
15c2969215
hex7bfe4a40

2080262720 has 112 divisors (see below), whose sum is σ = 5083423920. Its totient is φ = 810541056.

The previous prime is 2080262693. The next prime is 2080262759. The reversal of 2080262720 is 272620802.

It can be written as a sum of positive squares in 8 ways, for example, as 12559936 + 2067702784 = 3544^2 + 45472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2933726 + ... + 2934434.

Almost surely, 22080262720 is an apocalyptic number.

2080262720 is a gapful number since it is divisible by the number (20) 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 2080262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541711960).

2080262720 is an abundant number, since it is smaller than the sum of its proper divisors (3003161200).

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

2080262720 is a wasteful number, since it uses less digits than its factorization.

2080262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2080262720 is about 45609.8971715570. The cubic root of 2080262720 is about 1276.5546014687.

The spelling of 2080262720 in words is "two billion, eighty million, two hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 173 212 265 320 346 424 530 692 709 848 865 1060 1384 1418 1696 1730 2120 2768 2836 3392 3460 3545 4240 5536 5672 6920 7090 8480 9169 11072 11344 13840 14180 16960 18338 22688 27680 28360 36676 37577 45376 45845 55360 56720 73352 75154 91690 113440 122657 146704 150308 183380 187885 226880 245314 293408 300616 366760 375770 490628 586816 601232 613285 733520 751540 981256 1202464 1226570 1467040 1503080 1962512 2404928 2453140 2934080 3006160 3925024 4906280 6012320 6500821 7850048 9812560 12024640 13001642 19625120 26003284 32504105 39250240 52006568 65008210 104013136 130016420 208026272 260032840 416052544 520065680 1040131360 2080262720