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775066140 = 2232534712409
BaseRepresentation
bin101110001100101…
…001001000011100
32000000102102212100
4232030221020130
53041404104030
6204524205100
725130645022
oct5614511034
92000372770
10775066140
11368560732
12197699790
13c4762b24
1474d18712
154809e360
hex2e32921c

775066140 has 72 divisors (see below), whose sum is σ = 2357999280. Its totient is φ = 206072064.

The previous prime is 775066133. The next prime is 775066153. The reversal of 775066140 is 41660577.

775066140 is a `hidden beast` number, since 7 + 7 + 506 + 6 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 775066095 and 775066104.

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 23 ways as a sum of consecutive naturals, for example, 56256 + ... + 68664.

It is an arithmetic number, because the mean of its divisors is an integer number (32749990).

Almost surely, 2775066140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 775066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178999640).

775066140 is an abundant number, since it is smaller than the sum of its proper divisors (1582933140).

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

775066140 is a wasteful number, since it uses less digits than its factorization.

775066140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 775066140 is about 27840.0096982742. The cubic root of 775066140 is about 918.5714044077.

The spelling of 775066140 in words is "seven hundred seventy-five million, sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 10410 12409 12492 15615 20820 24818 31230 37227 49636 62045 62460 74454 111681 124090 148908 186135 223362 248180 372270 446724 558405 744540 1116810 2233620 4305923 8611846 12917769 17223692 21529615 25835538 38753307 43059230 51671076 64588845 77506614 86118460 129177690 155013228 193766535 258355380 387533070 775066140