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13133484 = 223271319211
BaseRepresentation
bin110010000110…
…011010101100
3220201020202100
4302012122230
511330232414
61145255100
7216430020
oct62063254
926636670
1013133484
117460421
124494490
13294abc0
141a5c380
151246609
hexc866ac

13133484 has 144 divisors (see below), whose sum is σ = 43214080. Its totient is φ = 3265920.

The previous prime is 13133479. The next prime is 13133507. The reversal of 13133484 is 48433131.

13133484 is a `hidden beast` number, since 1 + 313 + 348 + 4 = 666.

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, 62139 + ... + 62349.

Almost surely, 213133484 is an apocalyptic number.

13133484 is a gapful number since it is divisible by the number (14) 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 13133484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607040).

13133484 is an abundant number, since it is smaller than the sum of its proper divisors (30080596).

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

13133484 is a wasteful number, since it uses less digits than its factorization.

13133484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13133484 is about 3624.0149006316. The cubic root of 13133484 is about 235.9355133584.

The spelling of 13133484 in words is "thirteen million, one hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 211 228 234 247 252 266 273 342 364 399 422 468 494 532 546 633 684 741 798 819 844 988 1092 1197 1266 1477 1482 1596 1638 1729 1899 2223 2394 2532 2743 2954 2964 3276 3458 3798 4009 4431 4446 4788 5187 5486 5908 6916 7596 8018 8229 8862 8892 10374 10972 12027 13293 15561 16036 16458 17724 19201 20748 24054 24687 26586 28063 31122 32916 36081 38402 48108 49374 52117 53172 56126 57603 62244 72162 76804 84189 98748 104234 112252 115206 144324 156351 168378 172809 208468 230412 252567 312702 336756 345618 364819 469053 505134 625404 691236 729638 938106 1010268 1094457 1459276 1876212 2188914 3283371 4377828 6566742 13133484