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13333056 = 2631159107
BaseRepresentation
bin110010110111…
…001001000000
3221002101111220
4302313021000
511403124211
61153435040
7221220612
oct62671100
927071456
1013333056
117587360
12456ba80
1329ba9a9
141ab0db2
151285806
hexcb7240

13333056 has 112 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3934720.

The previous prime is 13333039. The next prime is 13333057. The reversal of 13333056 is 65033331.

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 (13333057) 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, 124555 + ... + 124661.

Almost surely, 213333056 is an apocalyptic number.

13333056 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 13333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

13333056 is an abundant number, since it is smaller than the sum of its proper divisors (26169024).

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

13333056 is a wasteful number, since it uses less digits than its factorization.

13333056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 13333056 is about 3651.4457410730. The cubic root of 13333056 is about 237.1245762128.

Adding to 13333056 its reverse (65033331), we get a palindrome (78366387).

It can be divided in two parts, 133330 and 56, that added together give a triangular number (133386 = T516).

The spelling of 13333056 in words is "thirteen million, three hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 107 118 132 176 177 192 214 236 264 321 352 354 428 472 528 642 649 704 708 856 944 1056 1177 1284 1298 1416 1712 1888 1947 2112 2354 2568 2596 2832 3424 3531 3776 3894 4708 5136 5192 5664 6313 6848 7062 7788 9416 10272 10384 11328 12626 14124 15576 18832 18939 20544 20768 25252 28248 31152 37664 37878 41536 50504 56496 62304 69443 75328 75756 101008 112992 124608 138886 151512 202016 208329 225984 277772 303024 404032 416658 555544 606048 833316 1111088 1212096 1666632 2222176 3333264 4444352 6666528 13333056