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6242940 = 22335111051
BaseRepresentation
bin10111110100001001111100
3102202011201000
4113310021330
53044233230
6341450300
7104030664
oct27641174
912664630
106242940
113584460
122110990
1313a7762
14b871a4
15834b60
hex5f427c

6242940 has 96 divisors (see below), whose sum is σ = 21208320. Its totient is φ = 1512000.

The previous prime is 6242921. The next prime is 6242941. The reversal of 6242940 is 492426.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242941) by changing a digit.

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, 5415 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (220920).

Almost surely, 26242940 is an apocalyptic number.

6242940 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 6242940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604160).

6242940 is an abundant number, since it is smaller than the sum of its proper divisors (14965380).

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

6242940 is a wasteful number, since it uses less digits than its factorization.

6242940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6242940 is about 2498.5876010258. The cubic root of 6242940 is about 184.1321907670.

The spelling of 6242940 in words is "six million, two hundred forty-two thousand, nine 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 1051 1188 1485 1980 2102 2970 3153 4204 5255 5940 6306 9459 10510 11561 12612 15765 18918 21020 23122 28377 31530 34683 37836 46244 47295 56754 57805 63060 69366 94590 104049 113508 115610 138732 141885 173415 189180 208098 231220 283770 312147 346830 416196 520245 567540 624294 693660 1040490 1248588 1560735 2080980 3121470 6242940