Search a number
-
+
2072760320 = 2125101209
BaseRepresentation
bin111101110001011…
…1101000000000000
312100110021010121202
41323202331000000
513221111312240
6541402240332
7102236113001
oct17342750000
95313233552
102072760320
11974023564
1249a1b60a8
132705713c7
141593d91a8
15c1e86315
hex7b8bd000

2072760320 has 52 divisors (see below), whose sum is σ = 4974066660. Its totient is φ = 829095936.

The previous prime is 2072760271. The next prime is 2072760337. The reversal of 2072760320 is 230672702.

It can be written as a sum of positive squares in 2 ways, for example, as 588353536 + 1484406784 = 24256^2 + 38528^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30125 + ... + 71084.

Almost surely, 22072760320 is an apocalyptic number.

2072760320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072760320 is an abundant number, since it is smaller than the sum of its proper divisors (2901306340).

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

2072760320 is an equidigital number, since it uses as much as digits as its factorization.

2072760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101238 (or 101216 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 2072760320 is about 45527.5775766732. The cubic root of 2072760320 is about 1275.0181353309.

The spelling of 2072760320 in words is "two billion, seventy-two million, seven hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 101209 202418 404836 506045 809672 1012090 1619344 2024180 3238688 4048360 6477376 8096720 12954752 16193440 25909504 32386880 51819008 64773760 103638016 129547520 207276032 259095040 414552064 518190080 1036380160 2072760320