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6774040380 = 22351131915231
BaseRepresentation
bin1100100111100001…
…11010011100111100
3122111002112220110110
412103300322130330
5102333123243010
63040103110020
7326603251602
oct62360723474
918432486413
106774040380
112966850888
121390742310
1383c55ca23
1448393b872
15299a83120
hex193c3a73c

6774040380 has 96 divisors (see below), whose sum is σ = 19239026688. Its totient is φ = 1780710400.

The previous prime is 6774040373. The next prime is 6774040387. The reversal of 6774040380 is 830404776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6774040373) and next prime (6774040387).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774040387) 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, 1292365 + ... + 1297595.

It is an arithmetic number, because the mean of its divisors is an integer number (200406528).

Almost surely, 26774040380 is an apocalyptic number.

6774040380 is a gapful number since it is divisible by the number (60) 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 6774040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619513344).

6774040380 is an abundant number, since it is smaller than the sum of its proper divisors (12464986308).

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

6774040380 is a wasteful number, since it uses less digits than its factorization.

6774040380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 6774040380 is about 82304.5586829794. The cubic root of 6774040380 is about 1892.1225447193.

The spelling of 6774040380 in words is "six billion, seven hundred seventy-four million, forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 191 226 339 382 452 565 573 678 764 955 1130 1146 1356 1695 1910 2260 2292 2865 3390 3820 5231 5730 6780 10462 11460 15693 20924 21583 26155 31386 43166 52310 62772 64749 78465 86332 104620 107915 129498 156930 215830 258996 313860 323745 431660 591103 647490 999121 1182206 1294980 1773309 1998242 2364412 2955515 2997363 3546618 3996484 4995605 5911030 5994726 7093236 8866545 9991210 11822060 11989452 14986815 17733090 19982420 29973630 35466180 59947260 112900673 225801346 338702019 451602692 564503365 677404038 1129006730 1354808076 1693510095 2258013460 3387020190 6774040380