Search a number
-
+
6197040 = 2433519151
BaseRepresentation
bin10111101000111100110000
3102122211202000
4113220330300
53041301130
6340454000
7103450113
oct27507460
912584660
106197040
113552a23
1220aa300
13138c8b5
14b7457a
15826260
hex5e8f30

6197040 has 160 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 1555200.

The previous prime is 6197017. The next prime is 6197047. The reversal of 6197040 is 407916.

6197040 is a `hidden beast` number, since 619 + 7 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6196995 and 6197013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6197047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40965 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 26197040 is an apocalyptic number.

6197040 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 6197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308800).

6197040 is an abundant number, since it is smaller than the sum of its proper divisors (16420560).

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

6197040 is a wasteful number, since it uses less digits than its factorization.

6197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6197040 is about 2489.3854663350. The cubic root of 6197040 is about 183.6798149282.

The spelling of 6197040 in words is "six million, one hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 151 152 171 180 190 216 228 240 270 285 302 304 342 360 380 432 453 456 513 540 570 604 684 720 755 760 855 906 912 1026 1080 1140 1208 1359 1368 1510 1520 1710 1812 2052 2160 2265 2280 2416 2565 2718 2736 2869 3020 3420 3624 4077 4104 4530 4560 5130 5436 5738 6040 6795 6840 7248 8154 8208 8607 9060 10260 10872 11476 12080 13590 13680 14345 16308 17214 18120 20385 20520 21744 22952 25821 27180 28690 32616 34428 36240 40770 41040 43035 45904 51642 54360 57380 65232 68856 77463 81540 86070 103284 108720 114760 129105 137712 154926 163080 172140 206568 229520 258210 309852 326160 344280 387315 413136 516420 619704 688560 774630 1032840 1239408 1549260 2065680 3098520 6197040