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1481328 = 2436127
BaseRepresentation
bin101101001101001110000
32210021000000
411221221300
5334400303
651430000
715406512
oct5515160
92707000
101481328
11921a42
125b5300
133cb334
142a7bb2
151e3da3
hex169a70

1481328 has 70 divisors (see below), whose sum is σ = 4337024. Its totient is φ = 489888.

The previous prime is 1481321. The next prime is 1481339. The reversal of 1481328 is 8231841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481321) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11601 + ... + 11727.

21481328 is an apocalyptic number.

1481328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168512).

1481328 is an abundant number, since it is smaller than the sum of its proper divisors (2855696).

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

1481328 is an equidigital number, since it uses as much as digits as its factorization.

1481328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1481328 is about 1217.0981883151. The cubic root of 1481328 is about 113.9944595645.

It can be divided in two parts, 14813 and 28, that added together give a palindrome (14841).

The spelling of 1481328 in words is "one million, four hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 729 762 972 1016 1143 1296 1458 1524 1944 2032 2286 2916 3048 3429 3888 4572 5832 6096 6858 9144 10287 11664 13716 18288 20574 27432 30861 41148 54864 61722 82296 92583 123444 164592 185166 246888 370332 493776 740664 1481328