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12141440 = 27561311
BaseRepresentation
bin101110010100…
…001110000000
3211211211220222
4232110032000
511102011230
61112122212
7205125533
oct56241600
924754828
1012141440
116943053
124096368
1326914ac
141880a1a
1510ec6e5
hexb94380

12141440 has 64 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 4761600.

The previous prime is 12141427. The next prime is 12141443. The reversal of 12141440 is 4414121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38885 + ... + 39195.

Almost surely, 212141440 is an apocalyptic number.

12141440 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 12141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

12141440 is an abundant number, since it is smaller than the sum of its proper divisors (17454880).

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

12141440 is an equidigital number, since it uses as much as digits as its factorization.

12141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12141440 is about 3484.4569160775. The cubic root of 12141440 is about 229.8388284850.

Adding to 12141440 its reverse (4414121), we get a palindrome (16555561).

The spelling of 12141440 in words is "twelve million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 311 320 488 610 622 640 976 1220 1244 1555 1952 2440 2488 3110 3904 4880 4976 6220 7808 9760 9952 12440 18971 19520 19904 24880 37942 39040 39808 49760 75884 94855 99520 151768 189710 199040 303536 379420 607072 758840 1214144 1517680 2428288 3035360 6070720 12141440