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13531056 = 2437211523
BaseRepresentation
bin110011100111…
…011110110000
3221110110010020
4303213132300
511430443211
61202003440
7223004100
oct63473660
927413106
1013531056
1177020a0
124646580
132a59b56
141b23200
1512c4306
hexce77b0

13531056 has 120 divisors (see below), whose sum is σ = 44443584. Its totient is φ = 3507840.

The previous prime is 13531043. The next prime is 13531057. The reversal of 13531056 is 65013531.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25611 + ... + 26133.

Almost surely, 213531056 is an apocalyptic number.

13531056 is a gapful number since it is divisible by the number (16) 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 13531056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221792).

13531056 is an abundant number, since it is smaller than the sum of its proper divisors (30912528).

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

13531056 is a wasteful number, since it uses less digits than its factorization.

13531056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13531056 is about 3678.4583727426. The cubic root of 13531056 is about 238.2926043605.

Adding to 13531056 its reverse (65013531), we get a palindrome (78544587).

The spelling of 13531056 in words is "thirteen million, five hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 523 528 539 588 616 784 924 1046 1078 1176 1232 1569 1617 1848 2092 2156 2352 3138 3234 3661 3696 4184 4312 5753 6276 6468 7322 8368 8624 10983 11506 12552 12936 14644 17259 21966 23012 25104 25627 25872 29288 34518 40271 43932 46024 51254 58576 69036 76881 80542 87864 92048 102508 120813 138072 153762 161084 175728 205016 241626 276144 281897 307524 322168 410032 483252 563794 615048 644336 845691 966504 1127588 1230096 1691382 1933008 2255176 3382764 4510352 6765528 13531056