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2671420120 = 2351713129989
BaseRepresentation
bin1001111100111010…
…1010001011011000
320220011202012110221
42133032222023120
520432340420440
61121025445424
7123125460565
oct23716521330
96804665427
102671420120
111150a46526
126267a0874
133375bac85
141b4b1386c
151097dbd4a
hex9f3aa2d8

2671420120 has 64 divisors (see below), whose sum is σ = 6413061600. Its totient is φ = 998000640.

The previous prime is 2671420049. The next prime is 2671420183. The reversal of 2671420120 is 210241762.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74086 + ... + 104074.

Almost surely, 22671420120 is an apocalyptic number.

2671420120 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 2671420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206530800).

2671420120 is an abundant number, since it is smaller than the sum of its proper divisors (3741641480).

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

2671420120 is a wasteful number, since it uses less digits than its factorization.

2671420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30148 (or 30144 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2671420120 is about 51685.7825712255. The cubic root of 2671420120 is about 1387.5460247158.

Adding to 2671420120 its reverse (210241762), we get a palindrome (2881661882).

The spelling of 2671420120 in words is "two billion, six hundred seventy-one million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 340 524 655 680 1048 1310 2227 2620 4454 5240 8908 11135 17816 22270 29989 44540 59978 89080 119956 149945 239912 299890 509813 599780 1019626 1199560 2039252 2549065 3928559 4078504 5098130 7857118 10196260 15714236 19642795 20392520 31428472 39285590 66785503 78571180 133571006 157142360 267142012 333927515 534284024 667855030 1335710060 2671420120