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13256064 = 273237311
BaseRepresentation
bin110010100100…
…010110000000
3220221110220100
4302210112000
511343143224
61152042400
7220450263
oct62442600
926843810
1013256064
117534528
124533400
132991933
141a90cda
15126cac9
hexca4580

13256064 has 96 divisors (see below), whose sum is σ = 39302640. Its totient is φ = 4285440.

The previous prime is 13256059. The next prime is 13256071. The reversal of 13256064 is 46065231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42469 + ... + 42779.

Almost surely, 213256064 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 13256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651320).

13256064 is an abundant number, since it is smaller than the sum of its proper divisors (26046576).

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

13256064 is a wasteful number, since it uses less digits than its factorization.

13256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13256064 is about 3640.8878038193. The cubic root of 13256064 is about 236.6672679568.

The spelling of 13256064 in words is "thirteen million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 311 333 384 444 576 592 622 666 888 933 1152 1184 1244 1332 1776 1866 2368 2488 2664 2799 3552 3732 4736 4976 5328 5598 7104 7464 9952 10656 11196 11507 14208 14928 19904 21312 22392 23014 29856 34521 39808 42624 44784 46028 59712 69042 89568 92056 103563 119424 138084 179136 184112 207126 276168 358272 368224 414252 552336 736448 828504 1104672 1472896 1657008 2209344 3314016 4418688 6628032 13256064