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12661760 = 21052473
BaseRepresentation
bin110000010011…
…010000000000
3212211021200002
4300103100000
511220134020
61131215132
7212423516
oct60232000
925737602
1012661760
117168a71
1242a74a8
132814287
1419784b6
1511a1975
hexc13400

12661760 has 44 divisors (see below), whose sum is σ = 30385668. Its totient is φ = 5062656.

The previous prime is 12661741. The next prime is 12661769. The reversal of 12661760 is 6716621.

It can be written as a sum of positive squares in 2 ways, for example, as 7054336 + 5607424 = 2656^2 + 2368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3884 + ... + 6356.

Almost surely, 212661760 is an apocalyptic number.

12661760 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 12661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192834).

12661760 is an abundant number, since it is smaller than the sum of its proper divisors (17723908).

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

12661760 is an equidigital number, since it uses as much as digits as its factorization.

12661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12661760 is about 3558.3366900843. The cubic root of 12661760 is about 233.0762520051.

The spelling of 12661760 in words is "twelve million, six hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2473 2560 4946 5120 9892 12365 19784 24730 39568 49460 79136 98920 158272 197840 316544 395680 633088 791360 1266176 1582720 2532352 3165440 6330880 12661760