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2075068720 = 245536171113
BaseRepresentation
bin111101110101111…
…0000100100110000
312100121121102011001
41323223300210300
513222204144340
6541523531344
7102264536014
oct17353604460
95317542131
102075068720
1197535a92a
1249ab29b54
13270b9c01a
1415983a544
15c229029a
hex7baf0930

2075068720 has 160 divisors (see below), whose sum is σ = 5111351424. Its totient is φ = 782745600.

The previous prime is 2075068703. The next prime is 2075068733. The reversal of 2075068720 is 278605702.

It is a self number, because there is not a number n which added to its sum of digits gives 2075068720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18363384 + ... + 18363496.

Almost surely, 22075068720 is an apocalyptic number.

2075068720 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 2075068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555675712).

2075068720 is an abundant number, since it is smaller than the sum of its proper divisors (3036282704).

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

2075068720 is a wasteful number, since it uses less digits than its factorization.

2075068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 2075068720 is about 45552.9221894710. The cubic root of 2075068720 is about 1275.4912821605.

The spelling of 2075068720 in words is "two billion, seventy-five million, sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 61 71 80 106 113 122 142 212 226 244 265 284 305 355 424 452 488 530 565 568 610 710 848 904 976 1060 1130 1136 1220 1420 1808 2120 2260 2440 2840 3233 3763 4240 4331 4520 4880 5680 5989 6466 6893 7526 8023 8662 9040 11978 12932 13786 15052 16046 16165 17324 18815 21655 23956 25864 27572 29945 30104 32092 32330 34465 34648 37630 40115 43310 47912 51728 55144 59890 60208 64184 64660 68930 69296 75260 80230 86620 95824 110288 119780 128368 129320 137860 150520 160460 173240 229543 239560 258640 275720 301040 320920 346480 365329 425219 459086 479120 489403 551440 641840 730658 850438 918172 978806 1147715 1461316 1700876 1826645 1836344 1957612 2126095 2295430 2447015 2922632 3401752 3653290 3672688 3915224 4252190 4590860 4894030 5845264 6803504 7306580 7830448 8504380 9181720 9788060 14613160 17008760 18363440 19576120 25938359 29226320 34017520 39152240 51876718 103753436 129691795 207506872 259383590 415013744 518767180 1037534360 2075068720