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13315488 = 2531741199
BaseRepresentation
bin110010110010…
…110110100000
3221001111102020
4302302312200
511402043423
61153221440
7221115444
oct62626640
927044366
1013315488
11757513a
124561880
1329b29b4
141aa8824
1512804e3
hexcb2da0

13315488 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4055040.

The previous prime is 13315483. The next prime is 13315499. The reversal of 13315488 is 88451331.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13315483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66813 + ... + 67011.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 213315488 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 13315488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

13315488 is an abundant number, since it is smaller than the sum of its proper divisors (24786912).

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

13315488 is a wasteful number, since it uses less digits than its factorization.

13315488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 13315488 is about 3649.0393256308. The cubic root of 13315488 is about 237.0203831567.

The spelling of 13315488 in words is "thirteen million, three hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 199 204 246 272 328 398 408 492 544 597 656 697 796 816 984 1194 1312 1394 1592 1632 1968 2091 2388 2788 3184 3383 3936 4182 4776 5576 6368 6766 8159 8364 9552 10149 11152 13532 16318 16728 19104 20298 22304 24477 27064 32636 33456 40596 48954 54128 65272 66912 81192 97908 108256 130544 138703 162384 195816 261088 277406 324768 391632 416109 554812 783264 832218 1109624 1664436 2219248 3328872 4438496 6657744 13315488