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2063075460 = 2235173835281
BaseRepresentation
bin111101011111000…
…0000100010000100
312022210001002111020
41322332000202010
513211121403320
6540414511140
7102060565155
oct17276004204
95283032436
102063075460
11969609146
12496b054b0
1326b560114
14157dd792c
15c11c1940
hex7af80884

2063075460 has 96 divisors (see below), whose sum is σ = 6133542912. Its totient is φ = 516341760.

The previous prime is 2063075437. The next prime is 2063075491. The reversal of 2063075460 is 645703602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388020 + ... + 393300.

It is an arithmetic number, because the mean of its divisors is an integer number (63891072).

Almost surely, 22063075460 is an apocalyptic number.

2063075460 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 2063075460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066771456).

2063075460 is an abundant number, since it is smaller than the sum of its proper divisors (4070467452).

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

2063075460 is a wasteful number, since it uses less digits than its factorization.

2063075460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2063075460 is about 45421.0904756810. The cubic root of 2063075460 is about 1273.0292167434.

The spelling of 2063075460 in words is "two billion, sixty-three million, seventy-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 383 510 766 1020 1149 1532 1915 2298 3830 4596 5281 5745 6511 7660 10562 11490 13022 15843 19533 21124 22980 26044 26405 31686 32555 39066 52810 63372 65110 78132 79215 89777 97665 105620 130220 158430 179554 195330 269331 316860 359108 390660 448885 538662 897770 1077324 1346655 1795540 2022623 2693310 4045246 5386620 6067869 8090492 10113115 12135738 20226230 24271476 30339345 34384591 40452460 60678690 68769182 103153773 121357380 137538364 171922955 206307546 343845910 412615092 515768865 687691820 1031537730 2063075460