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28142420 = 22519312389
BaseRepresentation
bin110101101011…
…0101101010100
31221221210010212
41223112231110
524201024140
62443104552
7461130605
oct153265524
957853125
1028142420
11149818a9
129512158
135aa4627
143a47dac
15270d765
hex1ad6b54

28142420 has 48 divisors (see below), whose sum is σ = 64243200. Its totient is φ = 10316160.

The previous prime is 28142419. The next prime is 28142437. The reversal of 28142420 is 2424182.

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 15 ways as a sum of consecutive naturals, for example, 10586 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (1338400).

Almost surely, 228142420 is an apocalyptic number.

28142420 is a gapful number since it is divisible by the number (20) 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 28142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32121600).

28142420 is an abundant number, since it is smaller than the sum of its proper divisors (36100780).

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

28142420 is a wasteful number, since it uses less digits than its factorization.

28142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 28142420 is about 5304.9429780159. The cubic root of 28142420 is about 304.1728731662.

The spelling of 28142420 in words is "twenty-eight million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2389 2945 4778 5890 9556 11780 11945 23890 45391 47780 74059 90782 148118 181564 226955 296236 370295 453910 740590 907820 1407121 1481180 2814242 5628484 7035605 14071210 28142420