Search a number
-
+
12542320 = 245722397
BaseRepresentation
bin101111110110…
…000101110000
3212121012211101
4233312011300
511202323240
61124454144
7211415350
oct57660560
925535741
1012542320
11709725a
12424a354
1327a1abb
141946b60
15117b39a
hexbf6170

12542320 has 40 divisors (see below), whose sum is σ = 33328224. Its totient is φ = 4300032.

The previous prime is 12542317. The next prime is 12542323. The reversal of 12542320 is 2324521.

It is an interprime number because it is at equal distance from previous prime (12542317) and next prime (12542323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10639 + ... + 11758.

Almost surely, 212542320 is an apocalyptic number.

12542320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12542320 is an abundant number, since it is smaller than the sum of its proper divisors (20785904).

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

12542320 is a wasteful number, since it uses less digits than its factorization.

12542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22417 (or 22411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 12542320 is about 3541.5138006226. The cubic root of 12542320 is about 232.3410560478.

Adding to 12542320 its reverse (2324521), we get a palindrome (14866841).

It can be divided in two parts, 125 and 42320, that multiplied together give a square (5290000 = 23002).

The spelling of 12542320 in words is "twelve million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22397 44794 89588 111985 156779 179176 223970 313558 358352 447940 627116 783895 895880 1254232 1567790 1791760 2508464 3135580 6271160 12542320