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2052197760 = 27352936857
BaseRepresentation
bin111101001010010…
…0000110110000000
312022000120110002110
41322110200312000
513200330312020
6535345415320
7101566251564
oct17224406600
95260513073
102052197760
11963459608
1249333a540
13269221c02
141567a56a4
15c02738e0
hex7a520d80

2052197760 has 128 divisors (see below), whose sum is σ = 6767128800. Its totient is φ = 528367616.

The previous prime is 2052197753. The next prime is 2052197761. The reversal of 2052197760 is 677912502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20521977602 = 8423031292298035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052197761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37252 + ... + 74108.

Almost surely, 22052197760 is an apocalyptic number.

2052197760 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 2052197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383564400).

2052197760 is an abundant number, since it is smaller than the sum of its proper divisors (4714931040).

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

2052197760 is a wasteful number, since it uses less digits than its factorization.

2052197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36908 (or 36896 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 2052197760 is about 45301.1893883593. The cubic root of 2052197760 is about 1270.7878964053.

The spelling of 2052197760 in words is "two billion, fifty-two million, one hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 36857 55680 73714 110571 147428 184285 221142 294856 368570 442284 552855 589712 737140 884568 1068853 1105710 1179424 1474280 1769136 2137706 2211420 2358848 2948560 3206559 3538272 4275412 4422840 4717696 5344265 5897120 6413118 7076544 8550824 8845680 10688530 11794240 12826236 14153088 16032795 17101648 17691360 21377060 23588480 25652472 32065590 34203296 35382720 42754120 51304944 64131180 68406592 70765440 85508240 102609888 128262360 136813184 171016480 205219776 256524720 342032960 410439552 513049440 684065920 1026098880 2052197760