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13244064 = 2531953137
BaseRepresentation
bin110010100001…
…011010100000
3220220212102220
4302201122200
511342302224
61151511040
7220400301
oct62413240
926825386
1013244064
117526509
124528480
132989332
141a8a7a8
151269279
hexca16a0

13244064 has 96 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 4073472.

The previous prime is 13244057. The next prime is 13244087. The reversal of 13244064 is 46044231.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96604 + ... + 96740.

It is an arithmetic number, because the mean of its divisors is an integer number (391230).

Almost surely, 213244064 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 13244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

13244064 is an abundant number, since it is smaller than the sum of its proper divisors (24314016).

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

13244064 is a wasteful number, since it uses less digits than its factorization.

13244064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 13244064 is about 3639.2394809905. The cubic root of 13244064 is about 236.5958323578.

Adding to 13244064 its reverse (46044231), we get a palindrome (59288295).

The spelling of 13244064 in words is "thirteen million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 137 152 159 212 228 274 304 318 411 424 456 548 608 636 822 848 912 1007 1096 1272 1644 1696 1824 2014 2192 2544 2603 3021 3288 4028 4384 5088 5206 6042 6576 7261 7809 8056 10412 12084 13152 14522 15618 16112 20824 21783 24168 29044 31236 32224 41648 43566 48336 58088 62472 83296 87132 96672 116176 124944 137959 174264 232352 249888 275918 348528 413877 551836 697056 827754 1103672 1655508 2207344 3311016 4414688 6622032 13244064