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138446480 = 2451730581
BaseRepresentation
bin10000100000010…
…00011010010000
3100122111210212102
420100020122100
5240420241410
621423215532
73300530024
oct1020103220
9318453772
10138446480
1171170987
123a4475a8
13228b51c3
141455c384
15c24b2a5
hex8408690

138446480 has 20 divisors (see below), whose sum is σ = 321888252. Its totient is φ = 55378560.

The previous prime is 138446449. The next prime is 138446491. The reversal of 138446480 is 84644831.

It can be written as a sum of positive squares in 2 ways, for example, as 95570176 + 42876304 = 9776^2 + 6548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 865211 + ... + 865370.

Almost surely, 2138446480 is an apocalyptic number.

138446480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138446480 is an abundant number, since it is smaller than the sum of its proper divisors (183441772).

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

138446480 is a wasteful number, since it uses less digits than its factorization.

138446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730594 (or 1730588 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 138446480 is about 11766.3282293161. The cubic root of 138446480 is about 517.3216325396.

The spelling of 138446480 in words is "one hundred thirty-eight million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1730581 3461162 6922324 8652905 13844648 17305810 27689296 34611620 69223240 138446480