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2072260512 = 253279971031
BaseRepresentation
bin111101110000100…
…0010111110100000
312100102022202000100
41323201002332200
513220444314022
6541343422400
7102231631560
oct17341027640
95312282010
102072260512
11973811aa3
12499bb4a00
13270427a6a
14159308da0
15c1dd81ac
hex7b842fa0

2072260512 has 144 divisors (see below), whose sum is σ = 6748140672. Its totient is φ = 590906880.

The previous prime is 2072260507. The next prime is 2072260523. The reversal of 2072260512 is 2150622702.

2072260512 is a `hidden beast` number, since 20 + 7 + 22 + 605 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2009437 + ... + 2010467.

It is an arithmetic number, because the mean of its divisors is an integer number (46862088).

Almost surely, 22072260512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374070336).

2072260512 is an abundant number, since it is smaller than the sum of its proper divisors (4675880160).

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

2072260512 is a wasteful number, since it uses less digits than its factorization.

2072260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2072260512 is about 45522.0881770597. The cubic root of 2072260512 is about 1274.9156447074.

The spelling of 2072260512 in words is "two billion, seventy-two million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 997 1008 1031 1994 2016 2062 2991 3093 3988 4124 5982 6186 6979 7217 7976 8248 8973 9279 11964 12372 13958 14434 15952 16496 17946 18558 20937 21651 23928 24744 27916 28868 31904 32992 35892 37116 41874 43302 47856 49488 55832 57736 62811 64953 71784 74232 83748 86604 95712 98976 111664 115472 125622 129906 143568 148464 167496 173208 223328 230944 251244 259812 287136 296928 334992 346416 502488 519624 669984 692832 1004976 1027907 1039248 2009952 2055814 2078496 3083721 4111628 6167442 7195349 8223256 9251163 12334884 14390698 16446512 18502326 21586047 24669768 28781396 32893024 37004652 43172094 49339536 57562792 64758141 74009304 86344188 98679072 115125584 129516282 148018608 172688376 230251168 259032564 296037216 345376752 518065128 690753504 1036130256 2072260512