Search a number
-
+
6040680 = 233571709
BaseRepresentation
bin10111000010110001101000
3102100220020220
4113002301220
53021300210
6333250040
7102226212
oct27026150
912326226
106040680
1134564a8
122033920
131336689
14b335b2
157e4c70
hex5c2c68

6040680 has 64 divisors (see below), whose sum is σ = 18403200. Its totient is φ = 1585920.

The previous prime is 6040679. The next prime is 6040681. The reversal of 6040680 is 860406.

It is an interprime number because it is at equal distance from previous prime (6040679) and next prime (6040681).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 6040680.

It is not an unprimeable number, because it can be changed into a prime (6040681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8166 + ... + 8874.

It is an arithmetic number, because the mean of its divisors is an integer number (287550).

Almost surely, 26040680 is an apocalyptic number.

6040680 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 6040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201600).

6040680 is an abundant number, since it is smaller than the sum of its proper divisors (12362520).

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

6040680 is a wasteful number, since it uses less digits than its factorization.

6040680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6040680 is about 2457.7794856333. The cubic root of 6040680 is about 182.1218039048.

6040680 divided by its sum of digits (24) gives a triangular number (251695 = T709).

The spelling of 6040680 in words is "six million, forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 709 710 852 1065 1418 1420 1704 2127 2130 2836 2840 3545 4254 4260 5672 7090 8508 8520 10635 14180 17016 21270 28360 42540 50339 85080 100678 151017 201356 251695 302034 402712 503390 604068 755085 1006780 1208136 1510170 2013560 3020340 6040680