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13216140 = 22325717617
BaseRepresentation
bin110010011010…
…100110001100
3220212110010200
4302122212030
511340404030
61151133500
7220223010
oct62324614
926773120
1013216140
117507533
124514290
132979702
141a80540
151260d60
hexc9a98c

13216140 has 144 divisors (see below), whose sum is σ = 48589632. Its totient is φ = 2838528.

The previous prime is 13216127. The next prime is 13216171. The reversal of 13216140 is 4161231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 21112 + ... + 21728.

It is an arithmetic number, because the mean of its divisors is an integer number (337428).

Almost surely, 213216140 is an apocalyptic number.

13216140 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 13216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294816).

13216140 is an abundant number, since it is smaller than the sum of its proper divisors (35373492).

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

13216140 is a wasteful number, since it uses less digits than its factorization.

13216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13216140 is about 3635.4009407492. The cubic root of 13216140 is about 236.4294345236.

Adding to 13216140 its reverse (4161231), we get a palindrome (17377371).

It can be divided in two parts, 13 and 216140, that added together give a triangular number (216153 = T657).

The spelling of 13216140 in words is "thirteen million, two hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 617 630 714 765 1020 1071 1190 1234 1260 1428 1530 1785 1851 2142 2380 2468 3060 3085 3570 3702 4284 4319 5355 5553 6170 7140 7404 8638 9255 10489 10710 11106 12340 12957 17276 18510 20978 21420 21595 22212 25914 27765 31467 37020 38871 41956 43190 51828 52445 55530 62934 64785 73423 77742 86380 94401 104890 111060 125868 129570 146846 155484 157335 188802 194355 209780 220269 259140 293692 314670 367115 377604 388710 440538 472005 629340 660807 734230 777420 881076 944010 1101345 1321614 1468460 1888020 2202690 2643228 3304035 4405380 6608070 13216140