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12190240 = 255611249
BaseRepresentation
bin101110100000…
…001000100000
3211221022212101
4232200020200
511110041430
61113140144
7205421026
oct56401040
924838771
1012190240
116976787
1240ba654
1326aa77a
141894716
15110bdca
hexba0220

12190240 has 48 divisors (see below), whose sum is σ = 29295000. Its totient is φ = 4792320.

The previous prime is 12190231. The next prime is 12190259. The reversal of 12190240 is 4209121.

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 6411024 = 2404^2 + 2532^2 .

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 7 ways as a sum of consecutive naturals, for example, 9136 + ... + 10384.

Almost surely, 212190240 is an apocalyptic number.

12190240 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 12190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647500).

12190240 is an abundant number, since it is smaller than the sum of its proper divisors (17104760).

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

12190240 is a wasteful number, since it uses less digits than its factorization.

12190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12190240 is about 3491.4524198391. The cubic root of 12190240 is about 230.1463466849.

Adding to 12190240 its reverse (4209121), we get a palindrome (16399361).

The spelling of 12190240 in words is "twelve million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1249 1952 2440 2498 4880 4996 6245 9760 9992 12490 19984 24980 39968 49960 76189 99920 152378 199840 304756 380945 609512 761890 1219024 1523780 2438048 3047560 6095120 12190240