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8380480 = 26526189
BaseRepresentation
bin11111111110000001000000
3120202202212011
4133332001000
54121133410
6455342304
7131142613
oct37760100
916682764
108380480
114804419
122981994
131975684
14118217a
15b0818a
hex7fe040

8380480 has 28 divisors (see below), whose sum is σ = 19956780. Its totient is φ = 3352064.

The previous prime is 8380469. The next prime is 8380511. The reversal of 8380480 is 840838.

It can be written as a sum of positive squares in 2 ways, for example, as 5053504 + 3326976 = 2248^2 + 1824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12775 + ... + 13414.

Almost surely, 28380480 is an apocalyptic number.

8380480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8380480 is an abundant number, since it is smaller than the sum of its proper divisors (11576300).

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

8380480 is a wasteful number, since it uses less digits than its factorization.

8380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8380480 is about 2894.9058706632. The cubic root of 8380480 is about 203.1216884667.

The spelling of 8380480 in words is "eight million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 26189 52378 104756 130945 209512 261890 419024 523780 838048 1047560 1676096 2095120 4190240 8380480