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6740106780 = 22351119751839
BaseRepresentation
bin1100100011011110…
…11101111000011100
3122101201200220022110
412101233131320130
5102300431404110
63032451514020
7326011651041
oct62157357034
918351626273
106740106780
112949683a90
1213812b8910
1383550b484
1447d2271c8
15296acda20
hex191bdde1c

6740106780 has 96 divisors (see below), whose sum is σ = 20692869120. Its totient is φ = 1625639680.

The previous prime is 6740106761. The next prime is 6740106781. The reversal of 6740106780 is 876010476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740106781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104101 + ... + 155939.

It is an arithmetic number, because the mean of its divisors is an integer number (215550720).

Almost surely, 26740106780 is an apocalyptic number.

6740106780 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 6740106780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346434560).

6740106780 is an abundant number, since it is smaller than the sum of its proper divisors (13952762340).

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

6740106780 is a wasteful number, since it uses less digits than its factorization.

6740106780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52059 (or 52057 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 6740106780 is about 82098.1533288051. The cubic root of 6740106780 is about 1888.9578140452.

The spelling of 6740106780 in words is "six billion, seven hundred forty million, one hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1970 2167 2364 2955 3940 4334 5910 6501 8668 10835 11820 13002 21670 26004 32505 43340 51839 65010 103678 130020 155517 207356 259195 311034 518390 570229 622068 777585 1036780 1140458 1555170 1710687 2280916 2851145 3110340 3421374 5702290 6842748 8553435 10212283 11404580 17106870 20424566 30636849 34213740 40849132 51061415 61273698 102122830 112335113 122547396 153184245 204245660 224670226 306368490 337005339 449340452 561675565 612736980 674010678 1123351130 1348021356 1685026695 2246702260 3370053390 6740106780