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13309296 = 24371113277
BaseRepresentation
bin110010110001…
…010101110000
3221001011220220
4302301111300
511401344141
61153133040
7221061420
oct62612560
927034826
1013309296
117570520
12455a180
1329acc30
141aa6480
15127d766
hexcb1570

13309296 has 160 divisors (see below), whose sum is σ = 46330368. Its totient is φ = 3179520.

The previous prime is 13309277. The next prime is 13309301. The reversal of 13309296 is 69290331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47910 + ... + 48186.

Almost surely, 213309296 is an apocalyptic number.

13309296 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 13309296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23165184).

13309296 is an abundant number, since it is smaller than the sum of its proper divisors (33021072).

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

13309296 is a wasteful number, since it uses less digits than its factorization.

13309296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 13309296 is about 3648.1907844848. The cubic root of 13309296 is about 236.9836375323.

The spelling of 13309296 in words is "thirteen million, three hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 277 286 308 312 336 364 429 462 528 546 554 572 616 624 728 831 858 924 1001 1092 1108 1144 1232 1456 1662 1716 1848 1939 2002 2184 2216 2288 3003 3047 3324 3432 3601 3696 3878 4004 4368 4432 5817 6006 6094 6648 6864 7202 7756 8008 9141 10803 11634 12012 12188 13296 14404 15512 16016 18282 21329 21606 23268 24024 24376 25207 28808 31024 36564 39611 42658 43212 46536 48048 48752 50414 57616 63987 73128 75621 79222 85316 86424 93072 100828 118833 127974 146256 151242 158444 170632 172848 201656 237666 255948 277277 302484 316888 341264 403312 475332 511896 554554 604968 633776 831831 950664 1023792 1109108 1209936 1663662 1901328 2218216 3327324 4436432 6654648 13309296