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13632216 = 2331323361
BaseRepresentation
bin110100000000…
…001011011000
3221122120212220
4310000023120
511442212331
61204104040
7223605033
oct64001330
927576786
1013632216
1177710a4
124695020
132a93c00
141b4c01a
1512e4296
hexd002d8

13632216 has 48 divisors (see below), whose sum is σ = 36914760. Its totient is φ = 4193280.

The previous prime is 13632211. The next prime is 13632217. The reversal of 13632216 is 61223631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376 + ... + 5736.

Almost surely, 213632216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13632216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457380).

13632216 is an abundant number, since it is smaller than the sum of its proper divisors (23282544).

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

13632216 is a wasteful number, since it uses less digits than its factorization.

13632216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3379 counting only the distinct ones).

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

The square root of 13632216 is about 3692.1830940515. The cubic root of 13632216 is about 238.8849664961.

Adding to 13632216 its reverse (61223631), we get a palindrome (74855847).

The spelling of 13632216 in words is "thirteen million, six hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 3361 4056 6722 10083 13444 20166 26888 40332 43693 80664 87386 131079 174772 262158 349544 524316 568009 1048632 1136018 1704027 2272036 3408054 4544072 6816108 13632216