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2766030630 = 2351175111161
BaseRepresentation
bin1010010011011110…
…0100011100100110
321010202202220200220
42210313210130212
521131100440010
61134245345210
7125354605146
oct24467443446
97122686626
102766030630
11119a396830
12652408206
1335109561c
141c3500926
15112c79970
hexa4de4726

2766030630 has 64 divisors (see below), whose sum is σ = 7252263936. Its totient is φ = 669600000.

The previous prime is 2766030607. The next prime is 2766030637. The reversal of 2766030630 is 360306672.

2766030630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2766030591 and 2766030600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766030637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242250 + ... + 253410.

It is an arithmetic number, because the mean of its divisors is an integer number (113316624).

Almost surely, 22766030630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766030630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626131968).

2766030630 is an abundant number, since it is smaller than the sum of its proper divisors (4486233306).

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

2766030630 is a wasteful number, since it uses less digits than its factorization.

2766030630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11933.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 2766030630 is about 52593.0663681060. The cubic root of 2766030630 is about 1403.7367232654.

The spelling of 2766030630 in words is "two billion, seven hundred sixty-six million, thirty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 751 1502 2253 3755 4506 7510 8261 11161 11265 16522 22322 22530 24783 33483 41305 49566 55805 66966 82610 111610 122771 123915 167415 245542 247830 334830 368313 613855 736626 1227710 1841565 3683130 8381911 16763822 25145733 41909555 50291466 83819110 92201021 125728665 184402042 251457330 276603063 461005105 553206126 922010210 1383015315 2766030630