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663114540 = 2235114721377
BaseRepresentation
bin100111100001100…
…101001100101100
31201012202201010210
4213201211030230
52324224131130
6145444502420
722301244354
oct4741451454
91635681123
10663114540
11310346850
121660aaa10
13a74c638a
14640d5b64
153d3385b0
hex2786532c

663114540 has 96 divisors (see below), whose sum is σ = 2068706304. Its totient is φ = 157327360.

The previous prime is 663114527. The next prime is 663114577. The reversal of 663114540 is 45411366.

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 = 663114498 and 663114507.

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, 20332 + ... + 41708.

It is an arithmetic number, because the mean of its divisors is an integer number (21549024).

Almost surely, 2663114540 is an apocalyptic number.

663114540 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 663114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034353152).

663114540 is an abundant number, since it is smaller than the sum of its proper divisors (1405591764).

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

663114540 is a wasteful number, since it uses less digits than its factorization.

663114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21447 (or 21445 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 663114540 is about 25751.0104656109. The cubic root of 663114540 is about 872.0261666951.

The spelling of 663114540 in words is "six hundred sixty-three million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 21377 31020 42754 64131 85508 106885 128262 213770 235147 256524 320655 427540 470294 641310 705441 940588 1004719 1175735 1282620 1410882 2009438 2351470 2821764 3014157 3527205 4018876 4702940 5023595 6028314 7054410 10047190 11051909 12056628 14108820 15070785 20094380 22103818 30141570 33155727 44207636 55259545 60283140 66311454 110519090 132622908 165778635 221038180 331557270 663114540