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12127840 = 255229331
BaseRepresentation
bin101110010000…
…111001100000
3211211011021021
4232100321200
511101042330
61111535224
7205041064
oct56207140
924734237
1012127840
11693390a
12408a514
13268824a
141879aa4
1510e867a
hexb90e60

12127840 has 48 divisors (see below), whose sum is σ = 28864080. Its totient is φ = 4815360.

The previous prime is 12127807. The next prime is 12127859. The reversal of 12127840 is 4872121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36475 + ... + 36805.

It is an arithmetic number, because the mean of its divisors is an integer number (601335).

Almost surely, 212127840 is an apocalyptic number.

12127840 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 12127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432040).

12127840 is an abundant number, since it is smaller than the sum of its proper divisors (16736240).

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

12127840 is a wasteful number, since it uses less digits than its factorization.

12127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 12127840 is about 3482.5048456535. The cubic root of 12127840 is about 229.7529799119.

Adding to 12127840 its reverse (4872121), we get a palindrome (16999961).

The spelling of 12127840 in words is "twelve million, one hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 331 458 662 916 1145 1324 1655 1832 2290 2648 3310 3664 4580 5296 6620 7328 9160 10592 13240 18320 26480 36640 52960 75799 151598 303196 378995 606392 757990 1212784 1515980 2425568 3031960 6063920 12127840