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6539940 = 2234511367
BaseRepresentation
bin11000111100101010100100
3110022021010000
4120330222210
53133234230
6352101300
7106405611
oct30745244
913267100
106539940
113767610
122234830
13147c9b4
14c23508
15892b60
hex63caa4

6539940 has 120 divisors (see below), whose sum is σ = 22442112. Its totient is φ = 1581120.

The previous prime is 6539927. The next prime is 6539957. The reversal of 6539940 is 499356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6539895 and 6539904.

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 39 ways as a sum of consecutive naturals, for example, 17637 + ... + 18003.

Almost surely, 26539940 is an apocalyptic number.

6539940 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 6539940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221056).

6539940 is an abundant number, since it is smaller than the sum of its proper divisors (15902172).

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

6539940 is a wasteful number, since it uses less digits than its factorization.

6539940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6539940 is about 2557.3306395537. The cubic root of 6539940 is about 187.0070250061.

The spelling of 6539940 in words is "six million, five hundred thirty-nine 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 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 367 396 405 495 540 594 660 734 810 891 990 1101 1188 1468 1485 1620 1782 1835 1980 2202 2970 3303 3564 3670 4037 4404 4455 5505 5940 6606 7340 8074 8910 9909 11010 12111 13212 16148 16515 17820 19818 20185 22020 24222 29727 33030 36333 39636 40370 48444 49545 59454 60555 66060 72666 80740 99090 108999 118908 121110 145332 148635 181665 198180 217998 242220 297270 326997 363330 435996 544995 594540 653994 726660 1089990 1307988 1634985 2179980 3269970 6539940