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12331520 = 2954817
BaseRepresentation
bin101111000010…
…101000000000
3212012111122222
4233002220000
511124102040
61120150212
7206546645
oct57025000
925174588
1012331520
116a62943
124168368
132729b76
1418cddcc
151138bb5
hexbc2a00

12331520 has 40 divisors (see below), whose sum is σ = 29572884. Its totient is φ = 4931584.

The previous prime is 12331499. The next prime is 12331537. The reversal of 12331520 is 2513321.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 1149184 = 3344^2 + 1072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 4968.

Almost surely, 212331520 is an apocalyptic number.

12331520 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 12331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786442).

12331520 is an abundant number, since it is smaller than the sum of its proper divisors (17241364).

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

12331520 is an frugal number, since it uses more digits than its factorization.

12331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 12331520 is about 3511.6264038192. The cubic root of 12331520 is about 231.0320351866.

Adding to 12331520 its reverse (2513321), we get a palindrome (14844841).

The spelling of 12331520 in words is "twelve million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4817 9634 19268 24085 38536 48170 77072 96340 154144 192680 308288 385360 616576 770720 1233152 1541440 2466304 3082880 6165760 12331520