Search a number
-
+
13662660 = 223511127163
BaseRepresentation
bin110100000111…
…100111000100
3221201010122110
4310013213010
511444201120
61204501020
7224062554
oct64074704
927633573
1013662660
117791a60
1246aa770
132aa4a1b
141b59164
1512ed2e0
hexd079c4

13662660 has 96 divisors (see below), whose sum is σ = 42319872. Its totient is φ = 3265920.

The previous prime is 13662643. The next prime is 13662697. The reversal of 13662660 is 6626631.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 83739 + ... + 83901.

It is an arithmetic number, because the mean of its divisors is an integer number (440832).

Almost surely, 213662660 is an apocalyptic number.

13662660 is a gapful number since it is divisible by the number (10) 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 13662660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159936).

13662660 is an abundant number, since it is smaller than the sum of its proper divisors (28657212).

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

13662660 is a wasteful number, since it uses less digits than its factorization.

13662660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13662660 is about 3696.3035589627. The cubic root of 13662660 is about 239.0626633772.

The spelling of 13662660 in words is "thirteen million, six hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 163 165 220 254 326 330 381 489 508 635 652 660 762 815 978 1270 1397 1524 1630 1793 1905 1956 2445 2540 2794 3260 3586 3810 4191 4890 5379 5588 6985 7172 7620 8382 8965 9780 10758 13970 16764 17930 20701 20955 21516 26895 27940 35860 41402 41910 53790 62103 82804 83820 103505 107580 124206 207010 227711 248412 310515 414020 455422 621030 683133 910844 1138555 1242060 1366266 2277110 2732532 3415665 4554220 6831330 13662660