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13438260 = 22325112617
BaseRepresentation
bin110011010000…
…110100110100
3221021201211100
4303100310310
511420011020
61200010100
7222136413
oct63206464
927251740
1013438260
117649400
124600930
132a26844
141adb47a
1512a6a90
hexcd0d34

13438260 has 108 divisors (see below), whose sum is σ = 44877924. Its totient is φ = 3252480.

The previous prime is 13438259. The next prime is 13438261. The reversal of 13438260 is 6283431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13438259) and next prime (13438261).

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 11329956 = 1452^2 + 3366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438261) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 21472 + ... + 22088.

Almost surely, 213438260 is an apocalyptic number.

13438260 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 13438260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438962).

13438260 is an abundant number, since it is smaller than the sum of its proper divisors (31439664).

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

13438260 is a wasteful number, since it uses less digits than its factorization.

13438260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

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

The square root of 13438260 is about 3665.8232363277. The cubic root of 13438260 is about 237.7466173262.

The spelling of 13438260 in words is "thirteen million, four hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 617 660 726 990 1089 1210 1234 1452 1815 1851 1980 2178 2420 2468 3085 3630 3702 4356 5445 5553 6170 6787 7260 7404 9255 10890 11106 12340 13574 18510 20361 21780 22212 27148 27765 33935 37020 40722 55530 61083 67870 74657 81444 101805 111060 122166 135740 149314 203610 223971 244332 298628 305415 373285 407220 447942 610830 671913 746570 895884 1119855 1221660 1343826 1493140 2239710 2687652 3359565 4479420 6719130 13438260