Search a number
-
+
2746980060 = 2235113126171
BaseRepresentation
bin1010001110111011…
…1001011011011100
321002102221001020020
42203232321123130
521111211330220
61132325152140
7125033642136
oct24356713334
97072831206
102746980060
11118a664860
12647b5b650
1334a1553b6
141c0b82056
15111265040
hexa3bb96dc

2746980060 has 288 divisors, whose sum is σ = 8936428032. Its totient is φ = 624960000.

The previous prime is 2746980031. The next prime is 2746980097. The reversal of 2746980060 is 600896472.

It is a junction number, because it is equal to n+sod(n) for n = 2746979994 and 2746980021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38689825 + ... + 38689895.

It is an arithmetic number, because the mean of its divisors is an integer number (31029264).

Almost surely, 22746980060 is an apocalyptic number.

2746980060 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 2746980060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468214016).

2746980060 is an abundant number, since it is smaller than the sum of its proper divisors (6189447972).

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

2746980060 is a wasteful number, since it uses less digits than its factorization.

2746980060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2746980060 is about 52411.6405009422. The cubic root of 2746980060 is about 1400.5066295648.

The spelling of 2746980060 in words is "two billion, seven hundred forty-six million, nine hundred eighty thousand, sixty".