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2120054160 = 243571916607
BaseRepresentation
bin111111001011101…
…0111010110010000
312110202020220120110
41332113113112100
513320213213120
6550212041320
7103352106630
oct17627272620
95422226513
102120054160
11998796084
124b2003240
1327a2bcb23
141617ca6c0
15c61c92e0
hex7e5d7590

2120054160 has 160 divisors (see below), whose sum is σ = 7551516672. Its totient is φ = 481973760.

The previous prime is 2120054149. The next prime is 2120054179. The reversal of 2120054160 is 614500212.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 317577 + ... + 324183.

Almost surely, 22120054160 is an apocalyptic number.

2120054160 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 2120054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775758336).

2120054160 is an abundant number, since it is smaller than the sum of its proper divisors (5431462512).

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

2120054160 is a wasteful number, since it uses less digits than its factorization.

2120054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2120054160 is about 46044.0458691458. The cubic root of 2120054160 is about 1284.6425971870.

Adding to 2120054160 its reverse (614500212), we get a palindrome (2734554372).

The spelling of 2120054160 in words is "two billion, one hundred twenty million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 191 210 240 280 336 382 420 560 573 764 840 955 1146 1337 1528 1680 1910 2292 2674 2865 3056 3820 4011 4584 5348 5730 6607 6685 7640 8022 9168 10696 11460 13214 13370 15280 16044 19821 20055 21392 22920 26428 26740 32088 33035 39642 40110 45840 46249 52856 53480 64176 66070 79284 80220 92498 99105 105712 106960 132140 138747 158568 160440 184996 198210 231245 264280 277494 317136 320880 369992 396420 462490 528560 554988 693735 739984 792840 924980 1109976 1261937 1387470 1585680 1849960 2219952 2523874 2774940 3699920 3785811 5047748 5549880 6309685 7571622 8833559 10095496 11099760 12619370 15143244 17667118 18929055 20190992 25238740 26500677 30286488 35334236 37858110 44167795 50477480 53001354 60572976 70668472 75716220 88335590 100954960 106002708 132503385 141336944 151432440 176671180 212005416 265006770 302864880 353342360 424010832 530013540 706684720 1060027080 2120054160