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1382480128 = 2819284227
BaseRepresentation
bin101001001100110…
…1111100100000000
310120100101021012201
41102121233210000
510312403331003
6345103202544
746154613211
oct12231574400
93510337181
101382480128
1164a412867
12326ba6454
131905561a3
14d1871408
1581583b1d
hex5266f900

1382480128 has 36 divisors (see below), whose sum is σ = 2904810160. Its totient is φ = 654856704.

The previous prime is 1382480119. The next prime is 1382480129. The reversal of 1382480128 is 8210842831.

It is a super-2 number, since 2×13824801282 = 3822502608629792768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1382480129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137250 + ... + 146977.

Almost surely, 21382480128 is an apocalyptic number.

It is an amenable number.

1382480128 is an abundant number, since it is smaller than the sum of its proper divisors (1522330032).

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

1382480128 is an equidigital number, since it uses as much as digits as its factorization.

1382480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284262 (or 284248 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 1382480128 is about 37181.7176580104. The cubic root of 1382480128 is about 1114.0028428706.

The spelling of 1382480128 in words is "one billion, three hundred eighty-two million, four hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 284227 568454 1136908 2273816 4547632 5400313 9095264 10800626 18190528 21601252 36381056 43202504 72762112 86405008 172810016 345620032 691240064 1382480128