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6455040 = 2835412
BaseRepresentation
bin11000100111111100000000
3110010221122120
4120213330000
53123030130
6350204240
7105603234
oct30477400
913127576
106455040
113709849
1221b3680
131450167
14c005c4
15877910
hex627f00

6455040 has 108 divisors (see below), whose sum is σ = 21130872. Its totient is φ = 1679360.

The previous prime is 6455017. The next prime is 6455047. The reversal of 6455040 is 405546.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6455040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157420 + ... + 157460.

Almost surely, 26455040 is an apocalyptic number.

6455040 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 6455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565436).

6455040 is an abundant number, since it is smaller than the sum of its proper divisors (14675832).

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

6455040 is an equidigital number, since it uses as much as digits as its factorization.

6455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 6455040 is about 2540.6770751121. The cubic root of 6455040 is about 186.1942703704.

The spelling of 6455040 in words is "six million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1681 1920 1968 2460 2624 3280 3362 3840 3936 4920 5043 5248 6560 6724 7872 8405 9840 10086 10496 13120 13448 15744 16810 19680 20172 25215 26240 26896 31488 33620 39360 40344 50430 52480 53792 67240 78720 80688 100860 107584 134480 157440 161376 201720 215168 268960 322752 403440 430336 537920 645504 806880 1075840 1291008 1613760 2151680 3227520 6455040