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2666601140 = 2257234319259
BaseRepresentation
bin1001111011110001…
…0001101010110100
320212211200101002012
42132330101222310
520430122214030
61120334303352
7123036510230
oct23674215264
96784611065
102666601140
1111492549a5
12625057b58
133365c16c8
141b421b5c0
15109189095
hex9ef11ab4

2666601140 has 96 divisors (see below), whose sum is σ = 6833756160. Its totient is φ = 854130816.

The previous prime is 2666601107. The next prime is 2666601149. The reversal of 2666601140 is 411066662.

It is a super-2 number, since 2×26666011402 = 14221523279698599200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666601097 and 2666601106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666601149) 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 31 ways as a sum of consecutive naturals, for example, 128831 + ... + 148089.

It is an arithmetic number, because the mean of its divisors is an integer number (71184960).

Almost surely, 22666601140 is an apocalyptic number.

2666601140 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 2666601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416878080).

2666601140 is an abundant number, since it is smaller than the sum of its proper divisors (4167155020).

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

2666601140 is a wasteful number, since it uses less digits than its factorization.

2666601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2666601140 is about 51639.1434863128. The cubic root of 2666601140 is about 1386.7111901950.

The spelling of 2666601140 in words is "two billion, six hundred sixty-six million, six hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 43 46 70 86 92 115 140 161 172 215 230 301 322 430 460 602 644 805 860 989 1204 1505 1610 1978 3010 3220 3956 4945 6020 6923 9890 13846 19259 19780 27692 34615 38518 69230 77036 96295 134813 138460 192590 269626 385180 442957 539252 674065 828137 885914 1348130 1656274 1771828 2214785 2696260 3100699 3312548 4140685 4429570 5796959 6201398 8281370 8859140 11593918 12402796 15503495 16562740 19047151 23187836 28984795 31006990 38094302 57969590 62013980 76188604 95235755 115939180 133330057 190471510 266660114 380943020 533320228 666650285 1333300570 2666601140