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2487065040 = 243351960601
BaseRepresentation
bin1001010000111101…
…1001100111010000
320102022211222212000
42110033121213100
520043142040130
61050442234000
7115426463325
oct22417314720
96368758760
102487065040
111066979859
12594ab5900
13308350a25
14198444b4c
15e8523260
hex943d99d0

2487065040 has 160 divisors (see below), whose sum is σ = 9017577600. Its totient is φ = 628300800.

The previous prime is 2487064981. The next prime is 2487065041. The reversal of 2487065040 is 405607842.

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 = 2487064986 and 2487065004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487065041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10740 + ... + 71340.

It is an arithmetic number, because the mean of its divisors is an integer number (56359860).

Almost surely, 22487065040 is an apocalyptic number.

2487065040 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 2487065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508788800).

2487065040 is an abundant number, since it is smaller than the sum of its proper divisors (6530512560).

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

2487065040 is a wasteful number, since it uses less digits than its factorization.

2487065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60642 (or 60630 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2487065040 is about 49870.4826525671. The cubic root of 2487065040 is about 1354.8640341415.

The spelling of 2487065040 in words is "two billion, four hundred eighty-seven million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 60601 121202 181803 242404 303005 363606 484808 545409 606010 727212 909015 969616 1090818 1151419 1212020 1454424 1636227 1818030 2181636 2302838 2424040 2727045 2908848 3272454 3454257 3636060 4363272 4605676 4848080 5454090 5757095 6544908 6908514 7272120 8181135 8726544 9211352 10362771 10908180 11514190 13089816 13817028 14544240 16362270 17271285 18422704 20725542 21816360 23028380 26179632 27634056 31088313 32724540 34542570 41451084 43632720 46056760 51813855 55268112 62176626 65449080 69085140 82902168 92113520 103627710 124353252 130898160 138170280 155441565 165804336 207255420 248706504 276340560 310883130 414510840 497413008 621766260 829021680 1243532520 2487065040