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13014456 = 23371359101
BaseRepresentation
bin110001101001…
…010110111000
3220111012110220
4301221112320
511312430311
61142540040
7215423010
oct61512670
926435426
1013014456
117389a54
124437620
132908980
141a2ac40
151221206
hexc695b8

13014456 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3340800.

The previous prime is 13014427. The next prime is 13014461. The reversal of 13014456 is 65441031.

13014456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128806 + ... + 128906.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 213014456 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 13014456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13014456 is an abundant number, since it is smaller than the sum of its proper divisors (28111944).

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

13014456 is a wasteful number, since it uses less digits than its factorization.

13014456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13014456 is about 3607.5554049799. Note that the first 3 decimals coincide. The cubic root of 13014456 is about 235.2205926252.

Adding to 13014456 its reverse (65441031), we get a palindrome (78455487).

The spelling of 13014456 in words is "thirteen million, fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 59 78 84 91 101 104 118 156 168 177 182 202 236 273 303 312 354 364 404 413 472 546 606 707 708 728 767 808 826 1092 1212 1239 1313 1414 1416 1534 1652 2121 2184 2301 2424 2478 2626 2828 3068 3304 3939 4242 4602 4956 5252 5369 5656 5959 6136 7878 8484 9191 9204 9912 10504 10738 11918 15756 16107 16968 17877 18382 18408 21476 23836 27573 31512 32214 35754 36764 41713 42952 47672 55146 64428 71508 73528 77467 83426 110292 125139 128856 143016 154934 166852 220584 232401 250278 309868 333704 464802 500556 542269 619736 929604 1001112 1084538 1626807 1859208 2169076 3253614 4338152 6507228 13014456