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12260352 = 210313307
BaseRepresentation
bin101110110001…
…010000000000
3212001220001010
4232301100000
511114312402
61114440520
7206132316
oct56612000
925056033
1012260352
116a14425
124133140
132703660
1418b20b6
151122a6c
hexbb1400

12260352 has 88 divisors (see below), whose sum is σ = 35306656. Its totient is φ = 3760128.

The previous prime is 12260333. The next prime is 12260401. The reversal of 12260352 is 25306221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39783 + ... + 40089.

It is an arithmetic number, because the mean of its divisors is an integer number (401212).

Almost surely, 212260352 is an apocalyptic number.

12260352 is a gapful number since it is divisible by the number (12) 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 12260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17653328).

12260352 is an abundant number, since it is smaller than the sum of its proper divisors (23046304).

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

12260352 is a wasteful number, since it uses less digits than its factorization.

12260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12260352 is about 3501.4785448436. The cubic root of 12260352 is about 230.5867313358.

Adding to 12260352 its reverse (25306221), we get a palindrome (37566573).

The spelling of 12260352 in words is "twelve million, two hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 307 312 384 416 512 614 624 768 832 921 1024 1228 1248 1536 1664 1842 2456 2496 3072 3328 3684 3991 4912 4992 6656 7368 7982 9824 9984 11973 13312 14736 15964 19648 19968 23946 29472 31928 39296 39936 47892 58944 63856 78592 95784 117888 127712 157184 191568 235776 255424 314368 383136 471552 510848 766272 943104 1021696 1532544 2043392 3065088 4086784 6130176 12260352