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1081632 = 25319593
BaseRepresentation
bin100001000000100100000
32000221201110
410020010200
5234103012
635103320
712123306
oct4100440
92027643
101081632
11679712
12441b40
132bb426
14202276
1516573c
hex108120

1081632 has 48 divisors (see below), whose sum is σ = 2993760. Its totient is φ = 340992.

The previous prime is 1081631. The next prime is 1081637. The reversal of 1081632 is 2361801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1081599 and 1081608.

It is not an unprimeable number, because it can be changed into a prime (1081631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

21081632 is an apocalyptic number.

1081632 is a gapful number since it is divisible by the number (12) 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 1081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880).

1081632 is an abundant number, since it is smaller than the sum of its proper divisors (1912128).

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

1081632 is a wasteful number, since it uses less digits than its factorization.

1081632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1081632 is about 1040.0153845016. The cubic root of 1081632 is about 102.6502100644.

The spelling of 1081632 in words is "one million, eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 593 608 912 1186 1779 1824 2372 3558 4744 7116 9488 11267 14232 18976 22534 28464 33801 45068 56928 67602 90136 135204 180272 270408 360544 540816 1081632