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3072540 = 2235411249
BaseRepresentation
bin1011101110001000011100
312210002201210
423232020130
51241310130
6145504420
735054562
oct13561034
95702653
103072540
111809499
121042110
13837693
1459da32
1540a5b0
hex2ee21c

3072540 has 48 divisors (see below), whose sum is σ = 8820000. Its totient is φ = 798720.

The previous prime is 3072539. The next prime is 3072541. The reversal of 3072540 is 452703.

It is a happy number.

3072540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3072539) and next prime (3072541).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836 + ... + 3084.

It is an arithmetic number, because the mean of its divisors is an integer number (183750).

Almost surely, 23072540 is an apocalyptic number.

3072540 is a gapful number since it is divisible by the number (30) 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 3072540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410000).

3072540 is an abundant number, since it is smaller than the sum of its proper divisors (5747460).

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

3072540 is a wasteful number, since it uses less digits than its factorization.

3072540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3072540 is about 1752.8662242168. The cubic root of 3072540 is about 145.3781646803.

The spelling of 3072540 in words is "three million, seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1249 2460 2498 3747 4996 6245 7494 12490 14988 18735 24980 37470 51209 74940 102418 153627 204836 256045 307254 512090 614508 768135 1024180 1536270 3072540