Search a number
-
+
13630440 = 2335971171
BaseRepresentation
bin110011111111…
…101111101000
3221122111110010
4303333233220
511442133230
61204051520
7223566615
oct63775750
927574403
1013630440
11776a82a
124693ba0
132a93165
141b4b50c
1512e39b0
hexcffbe8

13630440 has 64 divisors (see below), whose sum is σ = 41348160. Its totient is φ = 3594240.

The previous prime is 13630433. The next prime is 13630451. The reversal of 13630440 is 4403631.

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 15 ways as a sum of consecutive naturals, for example, 11055 + ... + 12225.

It is an arithmetic number, because the mean of its divisors is an integer number (646065).

Almost surely, 213630440 is an apocalyptic number.

13630440 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 13630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20674080).

13630440 is an abundant number, since it is smaller than the sum of its proper divisors (27717720).

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

13630440 is a wasteful number, since it uses less digits than its factorization.

13630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13630440 is about 3691.9425781017. The cubic root of 13630440 is about 238.8745920975.

The spelling of 13630440 in words is "thirteen million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1171 1455 1940 2328 2342 2910 3513 3880 4684 5820 5855 7026 9368 11640 11710 14052 17565 23420 28104 35130 46840 70260 113587 140520 227174 340761 454348 567935 681522 908696 1135870 1363044 1703805 2271740 2726088 3407610 4543480 6815220 13630440