Search a number
-
+
13002432 = 263241281
BaseRepresentation
bin110001100110…
…011011000000
3220110120222120
4301212123000
511312034212
61142404240
7215342652
oct61463300
926416876
1013002432
117380a13
124430680
132903361
141a266d2
15121c88c
hexc666c0

13002432 has 56 divisors (see below), whose sum is σ = 34667952. Its totient is φ = 4300800.

The previous prime is 13002427. The next prime is 13002439. The reversal of 13002432 is 23420031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46132 + ... + 46412.

Almost surely, 213002432 is an apocalyptic number.

13002432 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 13002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333976).

13002432 is an abundant number, since it is smaller than the sum of its proper divisors (21665520).

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

13002432 is a wasteful number, since it uses less digits than its factorization.

13002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13002432 is about 3605.8885174115. Note that the first 3 decimals coincide. The cubic root of 13002432 is about 235.1481305398.

Adding to 13002432 its reverse (23420031), we get a palindrome (36422463).

The spelling of 13002432 in words is "thirteen million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 281 482 562 723 843 964 1124 1446 1686 1928 2248 2892 3372 3856 4496 5784 6744 7712 8992 11568 13488 15424 17984 23136 26976 46272 53952 67721 135442 203163 270884 406326 541768 812652 1083536 1625304 2167072 3250608 4334144 6501216 13002432