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2706006072 = 2337111464289
BaseRepresentation
bin1010000101001010…
…0110000000111000
320222120211100111010
42201102212000320
521020214143242
61124303033520
7124025446350
oct24122460070
96876740433
102706006072
111169519460
1263629b8a0
1334180a433
141b9557b60
1510c86e89c
hexa14a6038

2706006072 has 64 divisors (see below), whose sum is σ = 8434310400. Its totient is φ = 702858240.

The previous prime is 2706006071. The next prime is 2706006091.

2706006072 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706006071) by changing a digit.

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, 730297 + ... + 733992.

It is an arithmetic number, because the mean of its divisors is an integer number (131786100).

Almost surely, 22706006072 is an apocalyptic number.

2706006072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2706006072 is an abundant number, since it is smaller than the sum of its proper divisors (5728304328).

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

2706006072 is a wasteful number, since it uses less digits than its factorization.

2706006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464316 (or 1464312 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2706006072 is about 52019.2855775625. The cubic root of 2706006072 is about 1393.5083934608.

It can be divided in two parts, 270600 and 6072, that added together give a palindrome (276672).

The spelling of 2706006072 in words is "two billion, seven hundred six million, six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1464289 2928578 4392867 5857156 8785734 10250023 11714312 16107179 17571468 20500046 30750069 32214358 35142936 41000092 48321537 61500138 64428716 82000184 96643074 112750253 123000276 128857432 193286148 225500506 246000552 338250759 386572296 451001012 676501518 902002024 1353003036 2706006072