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14353056 = 2532194361
BaseRepresentation
bin110110110000…
…001010100000
31000000012200200
4312300022200
512133244211
61231345200
7232666434
oct66601240
930005620
1014353056
118113733
124982200
132c87043
141c989c4
1513d7b56
hexdb02a0

14353056 has 144 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 4354560.

The previous prime is 14353051. The next prime is 14353067. The reversal of 14353056 is 65035341.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14353051) 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, 235266 + ... + 235326.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 214353056 is an apocalyptic number.

14353056 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 14353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

14353056 is an abundant number, since it is smaller than the sum of its proper divisors (30331584).

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

14353056 is a wasteful number, since it uses less digits than its factorization.

14353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 14353056 is about 3788.5427277517. The cubic root of 14353056 is about 243.0234189694.

Adding to 14353056 its reverse (65035341), we get a palindrome (79388397).

The spelling of 14353056 in words is "fourteen million, three hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 61 72 76 86 96 114 122 129 144 152 171 172 183 228 244 258 288 304 342 344 366 387 456 488 516 549 608 684 688 732 774 817 912 976 1032 1098 1159 1368 1376 1464 1548 1634 1824 1952 2064 2196 2318 2451 2623 2736 2928 3096 3268 3477 4128 4392 4636 4902 5246 5472 5856 6192 6536 6954 7353 7869 8784 9272 9804 10431 10492 12384 13072 13908 14706 15738 17568 18544 19608 20862 20984 23607 26144 27816 29412 31476 37088 39216 41724 41968 47214 49837 55632 58824 62952 78432 83448 83936 94428 99674 111264 117648 125904 149511 166896 188856 199348 235296 251808 299022 333792 377712 398696 448533 598044 755424 797392 897066 1196088 1594784 1794132 2392176 3588264 4784352 7176528 14353056