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6124140 = 22335111031
BaseRepresentation
bin10111010111001001101100
3102112010202000
4113113021230
53031433030
6335132300
7103024431
oct27271154
912463660
106124140
113503180
122074090
131365669
14b55b88
1580e860
hex5d726c

6124140 has 96 divisors (see below), whose sum is σ = 20805120. Its totient is φ = 1483200.

The previous prime is 6124121. The next prime is 6124163. The reversal of 6124140 is 414216.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5425 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

Almost surely, 26124140 is an apocalyptic number.

6124140 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 6124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402560).

6124140 is an abundant number, since it is smaller than the sum of its proper divisors (14680980).

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

6124140 is a wasteful number, since it uses less digits than its factorization.

6124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6124140 is about 2474.6999818160. The cubic root of 6124140 is about 182.9567218271.

Adding to 6124140 its reverse (414216), we get a palindrome (6538356).

The spelling of 6124140 in words is "six million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1031 1188 1485 1980 2062 2970 3093 4124 5155 5940 6186 9279 10310 11341 12372 15465 18558 20620 22682 27837 30930 34023 37116 45364 46395 55674 56705 61860 68046 92790 102069 111348 113410 136092 139185 170115 185580 204138 226820 278370 306207 340230 408276 510345 556740 612414 680460 1020690 1224828 1531035 2041380 3062070 6124140