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2060163540 = 22325194314009
BaseRepresentation
bin111101011001011…
…1001100111010100
312022120120011002100
41322302321213110
513204400213130
6540232242100
7102024046461
oct17262714724
95276504070
102060163540
119679aa3a6
12495b40330
1326aa808a6
1415787a668
15c0ce8c60
hex7acb99d4

2060163540 has 144 divisors (see below), whose sum is σ = 6731524800. Its totient is φ = 508322304.

The previous prime is 2060163533. The next prime is 2060163541. The reversal of 2060163540 is 453610602.

2060163540 is a `hidden beast` number, since 2 + 0 + 60 + 1 + 63 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2060163541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140056 + ... + 154064.

It is an arithmetic number, because the mean of its divisors is an integer number (46746700).

Almost surely, 22060163540 is an apocalyptic number.

2060163540 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 2060163540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365762400).

2060163540 is an abundant number, since it is smaller than the sum of its proper divisors (4671361260).

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

2060163540 is a wasteful number, since it uses less digits than its factorization.

2060163540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2060163540 is about 45389.0244442420. The cubic root of 2060163540 is about 1272.4299973199.

It can be divided in two parts, 2060 and 163540, that added together give a triangular number (165600 = T575).

The spelling of 2060163540 in words is "two billion, sixty million, one hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 570 645 684 774 817 855 860 1140 1290 1548 1634 1710 1935 2451 2580 3268 3420 3870 4085 4902 7353 7740 8170 9804 12255 14009 14706 16340 24510 28018 29412 36765 42027 49020 56036 70045 73530 84054 126081 140090 147060 168108 210135 252162 266171 280180 420270 504324 532342 602387 630405 798513 840540 1064684 1204774 1260810 1330855 1597026 1807161 2395539 2409548 2521620 2661710 3011935 3194052 3614322 3992565 4791078 5323420 5421483 6023870 7228644 7985130 9035805 9582156 10842966 11445353 11977695 12047740 15970260 18071610 21685932 22890706 23955390 27107415 34336059 36143220 45781412 47910780 54214830 57226765 68672118 103008177 108429660 114453530 137344236 171680295 206016354 228907060 343360590 412032708 515040885 686721180 1030081770 2060163540