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12907530 = 2325173829
BaseRepresentation
bin110001001111…
…010000001010
3220021202210200
4301033100022
511301020110
61140353030
7214466166
oct61172012
926252720
1012907530
117316689
1243a5776
13289c0bc
1419ddca6
1511ee6c0
hexc4f40a

12907530 has 48 divisors (see below), whose sum is σ = 33794280. Its totient is φ = 3417984.

The previous prime is 12907519. The next prime is 12907541. The reversal of 12907530 is 3570921.

12907530 is a `hidden beast` number, since 129 + 0 + 7 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (12907519) and next prime (12907541).

It can be written as a sum of positive squares in 4 ways, for example, as 12467961 + 439569 = 3531^2 + 663^2 .

It is a super-3 number, since 3×129075303 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12907494 and 12907503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15156 + ... + 15984.

Almost surely, 212907530 is an apocalyptic number.

12907530 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 12907530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897140).

12907530 is an abundant number, since it is smaller than the sum of its proper divisors (20886750).

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

12907530 is a wasteful number, since it uses less digits than its factorization.

12907530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 12907530 is about 3592.7051089673. The cubic root of 12907530 is about 234.5746341755.

The spelling of 12907530 in words is "twelve million, nine hundred seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 829 865 1038 1557 1658 1730 2487 2595 3114 4145 4974 5190 7461 7785 8290 12435 14922 15570 24870 37305 74610 143417 286834 430251 717085 860502 1290753 1434170 2151255 2581506 4302510 6453765 12907530