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2640240 = 2432519193
BaseRepresentation
bin1010000100100101110000
311222010201200
422010211300
51133441430
6132331200
731304331
oct12044560
94863650
102640240
111543719
12a73b00
13715995
144ca288
15372460
hex284970

2640240 has 120 divisors (see below), whose sum is σ = 9381840. Its totient is φ = 663552.

The previous prime is 2640227. The next prime is 2640251. The reversal of 2640240 is 420462.

2640240 is a `hidden beast` number, since 2 + 640 + 24 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13584 + ... + 13776.

It is an arithmetic number, because the mean of its divisors is an integer number (78182).

22640240 is an apocalyptic number.

2640240 is a gapful number since it is divisible by the number (20) 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 2640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690920).

2640240 is an abundant number, since it is smaller than the sum of its proper divisors (6741600).

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

2640240 is a wasteful number, since it uses less digits than its factorization.

2640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2640240 is about 1624.8815341433. The cubic root of 2640240 is about 138.2126526086.

The spelling of 2640240 in words is "two million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 193 228 240 285 304 342 360 380 386 456 570 579 684 720 760 772 855 912 965 1140 1158 1368 1520 1544 1710 1737 1930 2280 2316 2736 2895 3088 3420 3474 3667 3860 4560 4632 5790 6840 6948 7334 7720 8685 9264 11001 11580 13680 13896 14668 15440 17370 18335 22002 23160 27792 29336 33003 34740 36670 44004 46320 55005 58672 66006 69480 73340 88008 110010 132012 138960 146680 165015 176016 220020 264024 293360 330030 440040 528048 660060 880080 1320120 2640240