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13200704 = 2611171103
BaseRepresentation
bin110010010110…
…110101000000
3220211122221222
4302112311000
511334410304
61150534212
7220130006
oct62266500
926748858
1013200704
1174a6980
124507368
13297268a
141a78a76
15125b4be
hexc96d40

13200704 has 56 divisors (see below), whose sum is σ = 30284928. Its totient is φ = 5642240.

The previous prime is 13200703. The next prime is 13200709. The reversal of 13200704 is 40700231.

It is a happy number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11417 + ... + 12519.

Almost surely, 213200704 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 13200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142464).

13200704 is an abundant number, since it is smaller than the sum of its proper divisors (17084224).

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

13200704 is a wasteful number, since it uses less digits than its factorization.

13200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13200704 is about 3633.2773084366. The cubic root of 13200704 is about 236.3373514970.

Adding to 13200704 its reverse (40700231), we get a palindrome (53900935).

The spelling of 13200704 in words is "thirteen million, two hundred thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1103 1496 2206 2992 4412 5984 8824 11968 12133 17648 18751 24266 35296 37502 48532 70592 75004 97064 150008 194128 206261 300016 388256 412522 600032 776512 825044 1200064 1650088 3300176 6600352 13200704