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42960240 = 2433519889
BaseRepresentation
bin1010001111100…
…0010101110000
32222211121101000
42203320111300
541444211430
64132442000
71031104341
oct243702560
988747330
1042960240
1122282734
1212479300
138b9207b
1459c40c8
153b88e60
hex28f8570

42960240 has 80 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 11455488.

The previous prime is 42960221. The next prime is 42960259. The reversal of 42960240 is 4206924.

It is an interprime number because it is at equal distance from previous prime (42960221) and next prime (42960259).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (1849770).

Almost surely, 242960240 is an apocalyptic number.

42960240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42960240 is an abundant number, since it is smaller than the sum of its proper divisors (105021360).

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

42960240 is a wasteful number, since it uses less digits than its factorization.

42960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19911 (or 19899 counting only the distinct ones).

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

The square root of 42960240 is about 6554.4061515899. The cubic root of 42960240 is about 350.2317920371.

The spelling of 42960240 in words is "forty-two million, nine hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 19889 39778 59667 79556 99445 119334 159112 179001 198890 238668 298335 318224 358002 397780 477336 537003 596670 716004 795560 895005 954672 1074006 1193340 1432008 1591120 1790010 2148012 2386680 2685015 2864016 3580020 4296024 4773360 5370030 7160040 8592048 10740060 14320080 21480120 42960240