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28074960 = 2432538993
BaseRepresentation
bin110101100011…
…0001111010000
31221211100121100
41223012033100
524141344320
62441424400
7460430124
oct153061720
957740540
1028074960
1114936151
12949b100
135a7ca04
143a2b584
1526e8790
hex1ac63d0

28074960 has 60 divisors (see below), whose sum is σ = 94287492. Its totient is φ = 7486464.

The previous prime is 28074953. The next prime is 28074979. The reversal of 28074960 is 6947082.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 19289664 = 2964^2 + 4392^2 .

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 (36).

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, 18777 + ... + 20216.

Almost surely, 228074960 is an apocalyptic number.

28074960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28074960 is an abundant number, since it is smaller than the sum of its proper divisors (66212532).

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

28074960 is a wasteful number, since it uses less digits than its factorization.

28074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39012 (or 39003 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28074960 is about 5298.5809421014. The cubic root of 28074960 is about 303.9296351456.

The spelling of 28074960 in words is "twenty-eight million, seventy-four thousand, nine hundred sixty".

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 38993 77986 116979 155972 194965 233958 311944 350937 389930 467916 584895 623888 701874 779860 935832 1169790 1403748 1559720 1754685 1871664 2339580 2807496 3119440 3509370 4679160 5614992 7018740 9358320 14037480 28074960