[go: up one dir, main page]

Search a number
-
+
6754140 = 22325157239
BaseRepresentation
bin11001110000111101011100
3110201010221100
4121300331130
53212113030
6400433100
7111260241
oct31607534
913633840
106754140
1138a3538
122318790
131526343
14c7b5c8
158d6360
hex670f5c

6754140 has 72 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 1782144.

The previous prime is 6754087. The next prime is 6754141. The reversal of 6754140 is 414576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6754141) by changing a digit.

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, 28141 + ... + 28379.

It is an arithmetic number, because the mean of its divisors is an integer number (287560).

Almost surely, 26754140 is an apocalyptic number.

6754140 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 6754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

6754140 is an abundant number, since it is smaller than the sum of its proper divisors (13950180).

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

6754140 is a wasteful number, since it uses less digits than its factorization.

6754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6754140 is about 2598.8728325949. The cubic root of 6754140 is about 189.0267871665.

The spelling of 6754140 in words is "six million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 239 314 471 478 628 717 785 942 956 1195 1413 1434 1570 1884 2151 2355 2390 2826 2868 3140 3585 4302 4710 4780 5652 7065 7170 8604 9420 10755 14130 14340 21510 28260 37523 43020 75046 112569 150092 187615 225138 337707 375230 450276 562845 675414 750460 1125690 1350828 1688535 2251380 3377070 6754140