Search a number
-
+
13666002 = 2372234347
BaseRepresentation
bin110100001000…
…011011010010
3221201022020020
4310020123102
511444303002
61204524310
7224105400
oct64103322
927638206
1013666002
117794519
1246b0696
132aa63bc
141b5a470
1512ee2bc
hexd086d2

13666002 has 96 divisors (see below), whose sum is σ = 34670592. Its totient is φ = 3570336.

The previous prime is 13665991. The next prime is 13666019. The reversal of 13666002 is 20066631.

It is a super-2 number, since 2×136660022 = 373519221328008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290743 + ... + 290789.

It is an arithmetic number, because the mean of its divisors is an integer number (361152).

Almost surely, 213666002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335296).

13666002 is an abundant number, since it is smaller than the sum of its proper divisors (21004590).

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

13666002 is a wasteful number, since it uses less digits than its factorization.

13666002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13666002 is about 3696.7556045809. The cubic root of 13666002 is about 239.0821540251.

The spelling of 13666002 in words is "thirteen million, six hundred sixty-six thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 47 49 69 86 94 98 129 138 141 147 161 258 282 294 301 322 329 483 602 658 903 966 987 989 1081 1127 1806 1974 1978 2021 2107 2162 2254 2303 2967 3243 3381 4042 4214 4606 5934 6063 6321 6486 6762 6909 6923 7567 12126 12642 13818 13846 14147 15134 20769 22701 28294 41538 42441 45402 46483 48461 52969 84882 92966 96922 99029 105938 139449 145383 158907 198058 278898 290766 297087 317814 325381 594174 650762 976143 1952286 2277667 4555334 6833001 13666002