Search a number
-
+
13630452 = 22311313331
BaseRepresentation
bin110011111111…
…101111110100
3221122111110120
4303333233310
511442133302
61204051540
7223566633
oct63775764
927574416
1013630452
11776a840
124693bb0
132a93174
141b4b51a
1512e39bc
hexcffbf4

13630452 has 48 divisors (see below), whose sum is σ = 35825664. Its totient is φ = 3996000.

The previous prime is 13630451. The next prime is 13630453. The reversal of 13630452 is 25403631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13630451) and next prime (13630453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427 + ... + 5757.

It is an arithmetic number, because the mean of its divisors is an integer number (746368).

Almost surely, 213630452 is an apocalyptic number.

13630452 is a gapful number since it is divisible by the number (12) 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 13630452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912832).

13630452 is an abundant number, since it is smaller than the sum of its proper divisors (22195212).

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

13630452 is a wasteful number, since it uses less digits than its factorization.

13630452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13630452 is about 3691.9442032620. The cubic root of 13630452 is about 238.8746621979.

The spelling of 13630452 in words is "thirteen million, six hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 3331 4092 6662 9993 13324 19986 36641 39972 73282 103261 109923 146564 206522 219846 309783 413044 439692 619566 1135871 1239132 2271742 3407613 4543484 6815226 13630452