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2735049020 = 2251143928319
BaseRepresentation
bin1010001100000101…
…1000100100111100
321001121110212220212
42203001120210330
521100133032040
61131221331552
7124530350564
oct24301304474
97047425825
102735049020
1111839558a0
12643b66bb8
13347838902
141bd357da4
151101a9d65
hexa305893c

2735049020 has 48 divisors (see below), whose sum is σ = 6280243200. Its totient is φ = 992262720.

The previous prime is 2735049019. The next prime is 2735049041. The reversal of 2735049020 is 209405372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82421 + ... + 110739.

It is an arithmetic number, because the mean of its divisors is an integer number (130838400).

Almost surely, 22735049020 is an apocalyptic number.

2735049020 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 2735049020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140121600).

2735049020 is an abundant number, since it is smaller than the sum of its proper divisors (3545194180).

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

2735049020 is a wasteful number, since it uses less digits than its factorization.

2735049020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28778 (or 28776 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 2735049020 is about 52297.6961251641. The cubic root of 2735049020 is about 1398.4760662531.

The spelling of 2735049020 in words is "two billion, seven hundred thirty-five million, forty-nine thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 439 878 1756 2195 4390 4829 8780 9658 19316 24145 28319 48290 56638 96580 113276 141595 283190 311509 566380 623018 1246036 1557545 3115090 6230180 12432041 24864082 49728164 62160205 124320410 136752451 248640820 273504902 547009804 683762255 1367524510 2735049020