Search a number
-
+
13401612 = 2234719311
BaseRepresentation
bin110011000111…
…111000001100
3221012212120000
4303013320030
511412322422
61155124300
7221624520
oct63077014
927185500
1013401612
117623914
1245a3690
132a12c63
141acbd80
15129acac
hexcc7e0c

13401612 has 120 divisors (see below), whose sum is σ = 42282240. Its totient is φ = 3615840.

The previous prime is 13401611. The next prime is 13401637. The reversal of 13401612 is 21610431.

It is a happy number.

13401612 is a `hidden beast` number, since 13 + 40 + 1 + 612 = 666.

13401612 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 (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13401611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42937 + ... + 43247.

It is an arithmetic number, because the mean of its divisors is an integer number (352352).

Almost surely, 213401612 is an apocalyptic number.

13401612 is a gapful number since it is divisible by the number (12) 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 13401612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141120).

13401612 is an abundant number, since it is smaller than the sum of its proper divisors (28880628).

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

13401612 is a wasteful number, since it uses less digits than its factorization.

13401612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13401612 is about 3660.8212193441. The cubic root of 13401612 is about 237.5302978891.

The spelling of 13401612 in words is "thirteen million, four hundred one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 311 324 342 378 399 513 532 567 622 684 756 798 933 1026 1134 1197 1244 1539 1596 1866 2052 2177 2268 2394 2799 3078 3591 3732 4354 4788 5598 5909 6156 6531 7182 8397 8708 10773 11196 11818 13062 14364 16794 17727 19593 21546 23636 25191 26124 33588 35454 39186 41363 43092 50382 53181 58779 70908 78372 82726 100764 106362 117558 124089 159543 165452 176337 212724 235116 248178 319086 352674 372267 478629 496356 638172 705348 744534 957258 1116801 1489068 1914516 2233602 3350403 4467204 6700806 13401612