Search a number
-
+
13430232 = 233397641
BaseRepresentation
bin110011001110…
…110111011000
3221021022211000
4303032313120
511414231412
61155505000
7222104124
oct63166730
927238730
1013430232
117643372
1245b8160
132a22caa
141ad8584
1512a44dc
hexccedd8

13430232 has 64 divisors (see below), whose sum is σ = 37749600. Its totient is φ = 4423680.

The previous prime is 13430231. The next prime is 13430243. The reversal of 13430232 is 23203431.

13430232 is a `hidden beast` number, since 1 + 3 + 430 + 232 = 666.

It is a super-2 number, since 2×134302322 = 360742263147648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430231) 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, 20632 + ... + 21272.

Almost surely, 213430232 is an apocalyptic number.

13430232 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 13430232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874800).

13430232 is an abundant number, since it is smaller than the sum of its proper divisors (24319368).

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

13430232 is a wasteful number, since it uses less digits than its factorization.

13430232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13430232 is about 3664.7280935971. The cubic root of 13430232 is about 237.6992647166.

Adding to 13430232 its reverse (23203431), we get a palindrome (36633663).

The spelling of 13430232 in words is "thirteen million, four hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 641 776 873 1164 1282 1746 1923 2328 2564 2619 3492 3846 5128 5238 5769 6984 7692 10476 11538 15384 17307 20952 23076 34614 46152 62177 69228 124354 138456 186531 248708 373062 497416 559593 746124 1119186 1492248 1678779 2238372 3357558 4476744 6715116 13430232