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2070901008 = 24321110691223
BaseRepresentation
bin111101101101111…
…0111000100010000
312100022202200010100
41323123313010100
513220122313013
6541254332400
7102214240161
oct17333670420
95308680110
102070901008
11972a73640
1249965a100
13270070017
14159073768
15c1c1a473
hex7b6f7110

2070901008 has 120 divisors (see below), whose sum is σ = 6333612480. Its totient is φ = 626446080.

The previous prime is 2070900977. The next prime is 2070901009. The reversal of 2070901008 is 8001090702.

It is not an unprimeable number, because it can be changed into a prime (2070901009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692685 + ... + 1693907.

It is an arithmetic number, because the mean of its divisors is an integer number (52780104).

Almost surely, 22070901008 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 2070901008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166806240).

2070901008 is an abundant number, since it is smaller than the sum of its proper divisors (4262711472).

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

2070901008 is a wasteful number, since it uses less digits than its factorization.

2070901008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2070901008 is about 45507.1533717502. The cubic root of 2070901008 is about 1274.6367814275.

The spelling of 2070901008 in words is "two billion, seventy million, nine hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1069 1223 1584 2138 2446 3207 3669 4276 4892 6414 7338 8552 9621 9784 11007 11759 12828 13453 14676 17104 19242 19568 22014 23518 25656 26906 29352 35277 38484 40359 44028 47036 51312 53812 58704 70554 76968 80718 88056 94072 105831 107624 121077 141108 153936 161436 176112 188144 211662 215248 242154 282216 322872 423324 484308 564432 645744 846648 968616 1307387 1693296 1937232 2614774 3922161 5229548 7844322 10459096 11766483 14381257 15688644 20918192 23532966 28762514 31377288 43143771 47065932 57525028 62754576 86287542 94131864 115050056 129431313 172575084 188263728 230100112 258862626 345150168 517725252 690300336 1035450504 2070901008