Search a number
-
+
13388466 = 23721331113
BaseRepresentation
bin110011000100…
…101010110010
3221012012112010
4303010222302
511411412331
61154543350
7221541300
oct63045262
927165463
1013388466
117614a53
124597b56
132a09c90
141ac7270
151296e46
hexcc4ab2

13388466 has 96 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 3386880.

The previous prime is 13388449. The next prime is 13388471. The reversal of 13388466 is 66488331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 118426 + ... + 118538.

It is an arithmetic number, because the mean of its divisors is an integer number (363888).

Almost surely, 213388466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

13388466 is an abundant number, since it is smaller than the sum of its proper divisors (21544782).

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

13388466 is a wasteful number, since it uses less digits than its factorization.

13388466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13388466 is about 3659.0252800439. The cubic root of 13388466 is about 237.4526058707.

The spelling of 13388466 in words is "thirteen million, three hundred eighty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 113 147 182 186 217 226 273 294 339 403 434 546 637 651 678 791 806 1209 1274 1302 1469 1519 1582 1911 2373 2418 2821 2938 3038 3503 3822 4407 4557 4746 5537 5642 7006 8463 8814 9114 10283 10509 11074 16611 16926 19747 20566 21018 24521 30849 33222 39494 45539 49042 59241 61698 71981 73563 91078 118482 136617 143962 147126 171647 215943 273234 318773 343294 431886 514941 637546 956319 1029882 1912638 2231411 4462822 6694233 13388466