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12135520 = 255731039
BaseRepresentation
bin101110010010…
…110001100000
3211211112210201
4232102301200
511101314040
61112034544
7205102345
oct56226140
924745721
1012135520
116939661
124092a54
13268b8a7
14187c7cc
1510eaa9a
hexb92c60

12135520 has 48 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 4783104.

The previous prime is 12135499. The next prime is 12135521. The reversal of 12135520 is 2553121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11161 + ... + 12199.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 212135520 is an apocalyptic number.

12135520 is a gapful number since it is divisible by the number (10) 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 12135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

12135520 is an abundant number, since it is smaller than the sum of its proper divisors (16955360).

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

12135520 is a wasteful number, since it uses less digits than its factorization.

12135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 12135520 is about 3483.6073257473. The cubic root of 12135520 is about 229.8014669895.

Adding to 12135520 its reverse (2553121), we get a palindrome (14688641).

The spelling of 12135520 in words is "twelve million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1039 1168 1460 2078 2336 2920 4156 5195 5840 8312 10390 11680 16624 20780 33248 41560 75847 83120 151694 166240 303388 379235 606776 758470 1213552 1516940 2427104 3033880 6067760 12135520