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663501540 = 2235133832221
BaseRepresentation
bin100111100011000…
…011101011100100
31201020111101000010
4213203003223210
52324324022130
6145501050220
722304445552
oct4743035344
91636441003
10663501540
11310590589
12166256970
13a7600580
1464196bd2
153d3b30b0
hex278c3ae4

663501540 has 96 divisors (see below), whose sum is σ = 2006839296. Its totient is φ = 162823680.

The previous prime is 663501533. The next prime is 663501569. The reversal of 663501540 is 45105366.

663501540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 663501498 and 663501507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297630 + ... + 299850.

It is an arithmetic number, because the mean of its divisors is an integer number (20904576).

Almost surely, 2663501540 is an apocalyptic number.

663501540 is a gapful number since it is divisible by the number (60) 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 663501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003419648).

663501540 is an abundant number, since it is smaller than the sum of its proper divisors (1343337756).

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

663501540 is a wasteful number, since it uses less digits than its factorization.

663501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 663501540 is about 25758.5236378174. The cubic root of 663501540 is about 872.1957746468.

The spelling of 663501540 in words is "six hundred sixty-three million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 383 390 766 780 1149 1532 1915 2221 2298 3830 4442 4596 4979 5745 6663 7660 8884 9958 11105 11490 13326 14937 19916 22210 22980 24895 26652 28873 29874 33315 44420 49790 57746 59748 66630 74685 86619 99580 115492 133260 144365 149370 173238 288730 298740 346476 433095 577460 850643 866190 1701286 1732380 2551929 3402572 4253215 5103858 8506430 10207716 11058359 12759645 17012860 22116718 25519290 33175077 44233436 51038580 55291795 66350154 110583590 132700308 165875385 221167180 331750770 663501540