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12313530 = 2325414771
BaseRepresentation
bin101110111110…
…001110111010
3212011120222200
4232332032322
511123013110
61115531030
7206443335
oct56761672
925146880
1012313530
116a50379
124159a76
132721918
1418c761c
1511336c0
hexbbe3ba

12313530 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 3091200.

The previous prime is 12313513. The next prime is 12313537. The reversal of 12313530 is 3531321.

12313530 is a `hidden beast` number, since 123 + 13 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12313537) 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, 173395 + ... + 173465.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 212313530 is an apocalyptic number.

12313530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

12313530 is an abundant number, since it is smaller than the sum of its proper divisors (21652038).

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

12313530 is a wasteful number, since it uses less digits than its factorization.

12313530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 12313530 is about 3509.0639777582. The cubic root of 12313530 is about 230.9196324686.

Adding to 12313530 its reverse (3531321), we get a palindrome (15844851).

It can be divided in two parts, 1231 and 3530, that added together give a square (4761 = 692).

The spelling of 12313530 in words is "twelve million, three hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 47 71 82 90 94 123 141 142 205 213 235 246 282 355 369 410 423 426 470 615 639 705 710 738 846 1065 1230 1278 1410 1845 1927 2115 2130 2911 3195 3337 3690 3854 4230 5781 5822 6390 6674 8733 9635 10011 11562 14555 16685 17343 17466 19270 20022 26199 28905 29110 30033 33370 34686 43665 50055 52398 57810 60066 86715 87330 100110 130995 136817 150165 173430 261990 273634 300330 410451 684085 820902 1231353 1368170 2052255 2462706 4104510 6156765 12313530