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12038420 = 2254153277
BaseRepresentation
bin101101111011…
…000100010100
3211122121121102
4231323010110
511040212140
61110005232
7204216302
oct55730424
924577542
1012038420
116882709
124046818
132656634
141855272
1510cbe15
hexb7b114

12038420 has 48 divisors (see below), whose sum is σ = 26481168. Its totient is φ = 4592640.

The previous prime is 12038413. The next prime is 12038423. The reversal of 12038420 is 2483021.

12038420 is nontrivially palindromic in base 9.

12038420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1976836 + 10061584 = 1406^2 + 3172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12038392 and 12038401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43322 + ... + 43598.

It is an arithmetic number, because the mean of its divisors is an integer number (551691).

Almost surely, 212038420 is an apocalyptic number.

12038420 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 12038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240584).

12038420 is an abundant number, since it is smaller than the sum of its proper divisors (14442748).

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

12038420 is a wasteful number, since it uses less digits than its factorization.

12038420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12038420 is about 3469.6426328946. The cubic root of 12038420 is about 229.1869211115.

The spelling of 12038420 in words is "twelve million, thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 277 410 530 554 820 1060 1108 1385 2173 2770 4346 5540 8692 10865 11357 14681 21730 22714 29362 43460 45428 56785 58724 73405 113570 146810 227140 293620 601921 1203842 2407684 3009605 6019210 12038420