Search a number
-
+
13242504 = 23311103487
BaseRepresentation
bin110010100001…
…000010001000
3220220210022010
4302201002020
511342230004
61151455520
7220362612
oct62410210
926823263
1013242504
117525320
1245275a0
132988702
141a89db2
151268a89
hexca1088

13242504 has 64 divisors (see below), whose sum is σ = 36541440. Its totient is φ = 3965760.

The previous prime is 13242497. The next prime is 13242511. The reversal of 13242504 is 40524231.

It is an interprime number because it is at equal distance from previous prime (13242497) and next prime (13242511).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26949 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 213242504 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 13242504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270720).

13242504 is an abundant number, since it is smaller than the sum of its proper divisors (23298936).

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

13242504 is a wasteful number, since it uses less digits than its factorization.

13242504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13242504 is about 3639.0251441835. The cubic root of 13242504 is about 236.5865425610.

Adding to 13242504 its reverse (40524231), we get a palindrome (53766735).

It can be divided in two parts, 1324 and 2504, that added together give a triangular number (3828 = T87).

The spelling of 13242504 in words is "thirteen million, two hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 487 618 824 974 1133 1236 1461 1948 2266 2472 2922 3399 3896 4532 5357 5844 6798 9064 10714 11688 13596 16071 21428 27192 32142 42856 50161 64284 100322 128568 150483 200644 300966 401288 551771 601932 1103542 1203864 1655313 2207084 3310626 4414168 6621252 13242504