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13323648 = 2731317157
BaseRepresentation
bin110010110100…
…110110000000
3221001220121110
4302310312000
511402324043
61153323320
7221151312
oct62646600
927056543
1013323648
117580288
124566540
1329b6620
141aab7b2
151282b33
hexcb4d80

13323648 has 128 divisors (see below), whose sum is σ = 40612320. Its totient is φ = 3833856.

The previous prime is 13323643. The next prime is 13323649. The reversal of 13323648 is 84632331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84786 + ... + 84942.

Almost surely, 213323648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306160).

13323648 is an abundant number, since it is smaller than the sum of its proper divisors (27288672).

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

13323648 is a wasteful number, since it uses less digits than its factorization.

13323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 13323648 is about 3650.1572568863. The cubic root of 13323648 is about 237.0687902292.

Adding to 13323648 its reverse (84632331), we get a palindrome (97955979).

The spelling of 13323648 in words is "thirteen million, three hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 157 192 204 208 221 272 312 314 384 408 416 442 471 544 624 628 663 816 832 884 942 1088 1248 1256 1326 1632 1664 1768 1884 2041 2176 2496 2512 2652 2669 3264 3536 3768 4082 4992 5024 5304 5338 6123 6528 7072 7536 8007 8164 10048 10608 10676 12246 14144 15072 16014 16328 20096 21216 21352 24492 28288 30144 32028 32656 34697 42432 42704 48984 60288 64056 65312 69394 84864 85408 97968 104091 128112 130624 138788 170816 195936 208182 256224 261248 277576 341632 391872 416364 512448 555152 783744 832728 1024896 1110304 1665456 2220608 3330912 4441216 6661824 13323648