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13630448 = 2413193449
BaseRepresentation
bin110011111111…
…101111110000
3221122111110102
4303333233300
511442133243
61204051532
7223566626
oct63775760
927574412
1013630448
11776a837
124693ba8
132a93170
141b4b516
1512e39b8
hexcffbf0

13630448 has 40 divisors (see below), whose sum is σ = 29946000. Its totient is φ = 5958144.

The previous prime is 13630433. The next prime is 13630451. The reversal of 13630448 is 84403631.

It is a super-2 number, since 2×136304482 = 371578225361408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13630448.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2228 + ... + 5676.

It is an arithmetic number, because the mean of its divisors is an integer number (748650).

Almost surely, 213630448 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 13630448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973000).

13630448 is an abundant number, since it is smaller than the sum of its proper divisors (16315552).

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

13630448 is a wasteful number, since it uses less digits than its factorization.

13630448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 13630448 is about 3691.9436615420. The cubic root of 13630448 is about 238.8746388311.

The spelling of 13630448 in words is "thirteen million, six hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3449 3952 6898 13796 27592 44837 55184 65531 89674 131062 179348 262124 358696 524248 717392 851903 1048496 1703806 3407612 6815224 13630448