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6784140420 = 223454187741
BaseRepresentation
bin1100101000101110…
…11100010010000100
3122111210120001010000
412110113130102010
5102343214443140
63041103401300
7330055146021
oct62427342204
918453501100
106784140420
11297151a122
121393bb3230
13841687c95
1448500a548
1529a8caa30
hex1945dc484

6784140420 has 60 divisors (see below), whose sum is σ = 21282104844. Its totient is φ = 1809103680.

The previous prime is 6784140413. The next prime is 6784140431. The reversal of 6784140420 is 240414876.

It can be written as a sum of positive squares in 2 ways, for example, as 1432925316 + 5351215104 = 37854^2 + 73152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×67841404202 = 92049122476555552800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2092251 + ... + 2095490.

Almost surely, 26784140420 is an apocalyptic number.

6784140420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6784140420 is an abundant number, since it is smaller than the sum of its proper divisors (14497964424).

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

6784140420 is a wasteful number, since it uses less digits than its factorization.

6784140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187762 (or 4187751 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6784140420 is about 82365.8935482400. The cubic root of 6784140420 is about 1893.0624575975.

The spelling of 6784140420 in words is "six billion, seven hundred eighty-four million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4187741 8375482 12563223 16750964 20938705 25126446 37689669 41877410 50252892 62816115 75379338 83754820 113069007 125632230 150758676 188448345 226138014 251264460 339207021 376896690 452276028 565345035 678414042 753793380 1130690070 1356828084 1696035105 2261380140 3392070210 6784140420