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6492240 = 2432571127
BaseRepresentation
bin11000110001000001010000
3110012211200100
4120301001100
53130222430
6351052400
7106116546
oct30610120
913184610
106492240
113734797
122211100
131464081
14c0dd96
15883960
hex631050

6492240 has 120 divisors (see below), whose sum is σ = 22284288. Its totient is φ = 1693440.

The previous prime is 6492203. The next prime is 6492253. The reversal of 6492240 is 422946.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51057 + ... + 51183.

Almost surely, 26492240 is an apocalyptic number.

6492240 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 6492240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142144).

6492240 is an abundant number, since it is smaller than the sum of its proper divisors (15792048).

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

6492240 is a wasteful number, since it uses less digits than its factorization.

6492240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

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

The square root of 6492240 is about 2547.9874410993. The cubic root of 6492240 is about 186.5512608651.

The spelling of 6492240 in words is "six million, four hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 127 142 144 180 213 240 254 284 355 360 381 426 508 568 635 639 710 720 762 852 1016 1065 1136 1143 1270 1278 1420 1524 1704 1905 2032 2130 2286 2540 2556 2840 3048 3195 3408 3810 4260 4572 5080 5112 5680 5715 6096 6390 7620 8520 9017 9144 10160 10224 11430 12780 15240 17040 18034 18288 22860 25560 27051 30480 36068 45085 45720 51120 54102 72136 81153 90170 91440 108204 135255 144272 162306 180340 216408 270510 324612 360680 405765 432816 541020 649224 721360 811530 1082040 1298448 1623060 2164080 3246120 6492240