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13630200 = 2335222717
BaseRepresentation
bin110011111111…
…101011111000
3221122111010020
4303333223320
511442131300
61204050440
7223566123
oct63775370
927574106
1013630200
11776a631
124693a20
132a9300c
141b4b3ba
1512e38a0
hexcffaf8

13630200 has 48 divisors (see below), whose sum is σ = 42255480. Its totient is φ = 3634560.

The previous prime is 13630193. The next prime is 13630207. The reversal of 13630200 is 203631.

It is an interprime number because it is at equal distance from previous prime (13630193) and next prime (13630207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13630200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10759 + ... + 11958.

Almost surely, 213630200 is an apocalyptic number.

13630200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13630200 is an abundant number, since it is smaller than the sum of its proper divisors (28625280).

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

13630200 is a wasteful number, since it uses less digits than its factorization.

13630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13630200 is about 3691.9100747445. The cubic root of 13630200 is about 238.8731900827.

Adding to 13630200 its reverse (203631), we get a palindrome (13833831).

The spelling of 13630200 in words is "thirteen million, six hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 22717 45434 68151 90868 113585 136302 181736 227170 272604 340755 454340 545208 567925 681510 908680 1135850 1363020 1703775 2271700 2726040 3407550 4543400 6815100 13630200