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6124080 = 2435171979
BaseRepresentation
bin10111010111001000110000
3102112010122210
4113113020300
53031432310
6335132120
7103024314
oct27271060
912463583
106124080
113503126
122074040
131365621
14b55b44
1580e820
hex5d7230

6124080 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1437696.

The previous prime is 6124021. The next prime is 6124109. The reversal of 6124080 is 804216.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77481 + ... + 77559.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 26124080 is an apocalyptic number.

6124080 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 6124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

6124080 is an abundant number, since it is smaller than the sum of its proper divisors (15303120).

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

6124080 is a wasteful number, since it uses less digits than its factorization.

6124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6124080 is about 2474.6878591047. The cubic root of 6124080 is about 182.9561243316.

Adding to 6124080 its reverse (804216), we get a palindrome (6928296).

The spelling of 6124080 in words is "six million, one hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 79 80 85 95 102 114 120 136 152 158 170 190 204 228 237 240 255 272 285 304 316 323 340 380 395 408 456 474 510 570 632 646 680 760 790 816 912 948 969 1020 1140 1185 1264 1292 1343 1360 1501 1520 1580 1615 1896 1938 2040 2280 2370 2584 2686 3002 3160 3230 3792 3876 4029 4080 4503 4560 4740 4845 5168 5372 6004 6320 6460 6715 7505 7752 8058 9006 9480 9690 10744 12008 12920 13430 15010 15504 16116 18012 18960 19380 20145 21488 22515 24016 25517 25840 26860 30020 32232 36024 38760 40290 45030 51034 53720 60040 64464 72048 76551 77520 80580 90060 102068 107440 120080 127585 153102 161160 180120 204136 255170 306204 322320 360240 382755 408272 510340 612408 765510 1020680 1224816 1531020 2041360 3062040 6124080