Search a number
-
+
13459712 = 28722937
BaseRepresentation
bin110011010110…
…000100000000
3221022211020212
4303112010000
511421202322
61200253252
7222256100
oct63260400
927284225
1013459712
117663532
124611228
132a33536
141b05200
1512ad0e2
hexcd6100

13459712 has 108 divisors (see below), whose sum is σ = 33204780. Its totient is φ = 5419008.

The previous prime is 13459709. The next prime is 13459717. The reversal of 13459712 is 21795431.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 3625216 = 3136^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13459717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363758 + ... + 363794.

Almost surely, 213459712 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 13459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602390).

13459712 is an abundant number, since it is smaller than the sum of its proper divisors (19745068).

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

13459712 is an equidigital number, since it uses as much as digits as its factorization.

13459712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 13459712 is about 3668.7480153317. The cubic root of 13459712 is about 237.8730580259.

The spelling of 13459712 in words is "thirteen million, four hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 49 56 58 64 74 98 112 116 128 148 196 203 224 232 256 259 296 392 406 448 464 518 592 784 812 896 928 1036 1073 1184 1421 1568 1624 1792 1813 1856 2072 2146 2368 2842 3136 3248 3626 3712 4144 4292 4736 5684 6272 6496 7252 7424 7511 8288 8584 9472 11368 12544 12992 14504 15022 16576 17168 22736 25984 29008 30044 33152 34336 45472 51968 52577 58016 60088 66304 68672 90944 105154 116032 120176 137344 181888 210308 232064 240352 274688 363776 420616 464128 480704 841232 961408 1682464 1922816 3364928 6729856 13459712