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28023120 = 2432538921
BaseRepresentation
bin110101011100…
…1100101010000
31221201201111100
41222321211100
524133214440
62440344400
7460123026
oct152714520
957651440
1028023120
1114900204
129475100
135a62238
143a16716
1526d8230
hex1ab9950

28023120 has 60 divisors (see below), whose sum is σ = 94113396. Its totient is φ = 7472640.

The previous prime is 28023113. The next prime is 28023133. The reversal of 28023120 is 2132082.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 25160256 = 1692^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 28023093 and 28023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18741 + ... + 20180.

Almost surely, 228023120 is an apocalyptic number.

28023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28023120 is an abundant number, since it is smaller than the sum of its proper divisors (66090276).

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

28023120 is a wasteful number, since it uses less digits than its factorization.

28023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38940 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28023120 is about 5293.6868059983. The cubic root of 28023120 is about 303.7424526906.

The spelling of 28023120 in words is "twenty-eight million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 38921 77842 116763 155684 194605 233526 311368 350289 389210 467052 583815 622736 700578 778420 934104 1167630 1401156 1556840 1751445 1868208 2335260 2802312 3113680 3502890 4670520 5604624 7005780 9341040 14011560 28023120