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12376420 = 2257273173
BaseRepresentation
bin101111001101…
…100101100100
3212021210020221
4233031211210
511132021140
61121134124
7210124600
oct57154544
925253227
1012376420
116a93651
12418a344
132744434
141902500
15114714a
hexbcd964

12376420 has 72 divisors (see below), whose sum is σ = 30825144. Its totient is φ = 4161024.

The previous prime is 12376411. The next prime is 12376423. The reversal of 12376420 is 2467321.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 8479744 = 1974^2 + 2912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12376423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71454 + ... + 71626.

It is an arithmetic number, because the mean of its divisors is an integer number (428127).

Almost surely, 212376420 is an apocalyptic number.

12376420 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 12376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412572).

12376420 is an abundant number, since it is smaller than the sum of its proper divisors (18448724).

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

12376420 is a wasteful number, since it uses less digits than its factorization.

12376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12376420 is about 3518.0136440895. The cubic root of 12376420 is about 231.3120972754.

Subtracting from 12376420 its reverse (2467321), we obtain a palindrome (9909099).

The spelling of 12376420 in words is "twelve million, three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 173 196 245 292 346 365 490 511 692 730 865 980 1022 1211 1460 1730 2044 2422 2555 3460 3577 4844 5110 6055 7154 8477 10220 12110 12629 14308 16954 17885 24220 25258 33908 35770 42385 50516 63145 71540 84770 88403 126290 169540 176806 252580 353612 442015 618821 884030 1237642 1768060 2475284 3094105 6188210 12376420