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2670725280 = 25355779643
BaseRepresentation
bin1001111100110000…
…0000100010100000
320220010102220100010
42133030000202200
520432201202110
61121002524520
7123116535036
oct23714004240
96803386303
102670725280
111150611483
12626506740
13337406922
141b49b2556
15109701020
hex9f3008a0

2670725280 has 96 divisors (see below), whose sum is σ = 8428238784. Its totient is φ = 710885376.

The previous prime is 2670725203. The next prime is 2670725297. The reversal of 2670725280 is 825270762.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272139 + ... + 281781.

It is an arithmetic number, because the mean of its divisors is an integer number (87794154).

Almost surely, 22670725280 is an apocalyptic number.

2670725280 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 2670725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214119392).

2670725280 is an abundant number, since it is smaller than the sum of its proper divisors (5757513504).

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

2670725280 is a wasteful number, since it uses less digits than its factorization.

2670725280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2670725280 is about 51679.0603629749. The cubic root of 2670725280 is about 1387.4257134158.

The spelling of 2670725280 in words is "two billion, six hundred seventy million, seven hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 9232 9643 11540 13848 17310 18464 19286 23080 27696 28929 34620 38572 46160 48215 55392 57858 69240 77144 92320 96430 115716 138480 144645 154288 192860 231432 276960 289290 308576 385720 462864 578580 771440 925728 1157160 1542880 2314320 4628640 5564011 11128022 16692033 22256044 27820055 33384066 44512088 55640110 66768132 83460165 89024176 111280220 133536264 166920330 178048352 222560440 267072528 333840660 445120880 534145056 667681320 890241760 1335362640 2670725280