Search a number
-
+
12401240 = 2353173137
BaseRepresentation
bin101111010011…
…101001011000
3212100001022012
4233103221120
511133314430
61121445052
7210260135
oct57235130
925301265
1012401240
117000265
1241a0788
132752817
14190b58c
15114e695
hexbd3a58

12401240 has 64 divisors (see below), whose sum is σ = 29410560. Its totient is φ = 4700160.

The previous prime is 12401189. The next prime is 12401251. The reversal of 12401240 is 4210421.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90452 + ... + 90588.

It is an arithmetic number, because the mean of its divisors is an integer number (459540).

Almost surely, 212401240 is an apocalyptic number.

12401240 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 12401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705280).

12401240 is an abundant number, since it is smaller than the sum of its proper divisors (17009320).

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

12401240 is a wasteful number, since it uses less digits than its factorization.

12401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12401240 is about 3521.5394360989. The cubic root of 12401240 is about 231.4666204923.

Adding to 12401240 its reverse (4210421), we get a palindrome (16611661).

The spelling of 12401240 in words is "twelve million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 137 146 155 248 274 292 310 365 548 584 620 685 730 1096 1240 1370 1460 2263 2740 2920 4247 4526 5480 8494 9052 10001 11315 16988 18104 20002 21235 22630 33976 40004 42470 45260 50005 80008 84940 90520 100010 169880 200020 310031 400040 620062 1240124 1550155 2480248 3100310 6200620 12401240