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13361000 = 235331431
BaseRepresentation
bin110010111101…
…111101101000
3221010210211212
4302331331220
511410023000
61154212252
7221365232
oct62757550
927123755
1013361000
1175a6354
124584088
1329ca623
141abb252
15128dc35
hexcbdf68

13361000 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 5160000.

The previous prime is 13360973. The next prime is 13361011. The reversal of 13361000 is 16331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30785 + ... + 31215.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 213361000 is an apocalyptic number.

13361000 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 13361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13361000 is an abundant number, since it is smaller than the sum of its proper divisors (18987160).

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

13361000 is a wasteful number, since it uses less digits than its factorization.

13361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13361000 is about 3655.2701678535. The cubic root of 13361000 is about 237.2901192905.

Adding to 13361000 its reverse (16331), we get a palindrome (13377331).

The spelling of 13361000 in words is "thirteen million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 431 500 620 775 862 1000 1240 1550 1724 2155 3100 3448 3875 4310 6200 7750 8620 10775 13361 15500 17240 21550 26722 31000 43100 53444 53875 66805 86200 106888 107750 133610 215500 267220 334025 431000 534440 668050 1336100 1670125 2672200 3340250 6680500 13361000