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6742540 = 2257172833
BaseRepresentation
bin11001101110001000001100
3110200120000201
4121232020030
53211230130
6400303244
7111211360
oct31561014
913616021
106742540
113895852
122311b24
131520c8c
14c772a0
158d2bca
hex66e20c

6742540 has 48 divisors (see below), whose sum is σ = 17140032. Its totient is φ = 2174976.

The previous prime is 6742517. The next prime is 6742553. The reversal of 6742540 is 452476.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6742499 and 6742508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964 + ... + 3796.

It is an arithmetic number, because the mean of its divisors is an integer number (357084).

Almost surely, 26742540 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 6742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570016).

6742540 is an abundant number, since it is smaller than the sum of its proper divisors (10397492).

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

6742540 is a wasteful number, since it uses less digits than its factorization.

6742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 6742540 is about 2596.6401367922. The cubic root of 6742540 is about 188.9185095160.

Subtracting from 6742540 its reverse (452476), we obtain a square (6290064 = 25082).

The spelling of 6742540 in words is "six million, seven hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 2833 5666 11332 14165 19831 28330 39662 48161 56660 79324 96322 99155 192644 198310 240805 337127 396620 481610 674254 963220 1348508 1685635 3371270 6742540