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2766070420 = 225373737933
BaseRepresentation
bin1010010011011110…
…1110001010010100
321010202211221021121
42210313232022110
521131103223140
61134250253324
7125355132151
oct24467561224
97122757247
102766070420
11119a413713
12652427244
133510aa779
141c3511228
15112c8664a
hexa4dee294

2766070420 has 24 divisors (see below), whose sum is σ = 5965742664. Its totient is φ = 1076524416.

The previous prime is 2766070399. The next prime is 2766070423. The reversal of 2766070420 is 240706672.

2766070420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1757118724 + 1008951696 = 41918^2 + 31764^2 .

It is a super-2 number, since 2×27660704202 = 15302291136797952800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766070423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1868227 + ... + 1869706.

It is an arithmetic number, because the mean of its divisors is an integer number (248572611).

Almost surely, 22766070420 is an apocalyptic number.

2766070420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2766070420 is an abundant number, since it is smaller than the sum of its proper divisors (3199672244).

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

2766070420 is a wasteful number, since it uses less digits than its factorization.

2766070420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737979 (or 3737977 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2766070420 is about 52593.4446485491. Note that the first 3 decimals coincide. The cubic root of 2766070420 is about 1403.7434542606.

The spelling of 2766070420 in words is "two billion, seven hundred sixty-six million, seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3737933 7475866 14951732 18689665 37379330 74758660 138303521 276607042 553214084 691517605 1383035210 2766070420