Search a number
-
+
12126840 = 2335119187
BaseRepresentation
bin101110010000…
…101001111000
3211211002220020
4232100221320
511101024330
61111530440
7205035135
oct56205170
924732806
1012126840
116933090
124089a20
13268795b
14187958c
1510e8210
hexb90a78

12126840 has 64 divisors (see below), whose sum is σ = 39692160. Its totient is φ = 2939520.

The previous prime is 12126839. The next prime is 12126841. The reversal of 12126840 is 4862121.

It is an interprime number because it is at equal distance from previous prime (12126839) and next prime (12126841).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12126840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3274 + ... + 5913.

It is an arithmetic number, because the mean of its divisors is an integer number (620190).

Almost surely, 212126840 is an apocalyptic number.

12126840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126840 is an abundant number, since it is smaller than the sum of its proper divisors (27565320).

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

12126840 is a wasteful number, since it uses less digits than its factorization.

12126840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12126840 is about 3482.3612678756. The cubic root of 12126840 is about 229.7466649843.

Adding to 12126840 its reverse (4862121), we get a palindrome (16988961).

The spelling of 12126840 in words is "twelve million, one hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9187 18374 27561 36748 45935 55122 73496 91870 101057 110244 137805 183740 202114 220488 275610 303171 367480 404228 505285 551220 606342 808456 1010570 1102440 1212684 1515855 2021140 2425368 3031710 4042280 6063420 12126840