Search a number
-
+
1032096 = 25313827
BaseRepresentation
bin11111011111110100000
31221102202210
43323332200
5231011341
634042120
711526012
oct3737640
91842683
101032096
1164547a
12419340
132a1a10
141cc1b2
15155c16
hexfbfa0

1032096 has 48 divisors (see below), whose sum is σ = 2921184. Its totient is φ = 317184.

The previous prime is 1032071. The next prime is 1032107. The reversal of 1032096 is 6902301.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 835 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (60858).

21032096 is an apocalyptic number.

1032096 is a gapful number since it is divisible by the number (16) 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 1032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460592).

1032096 is an abundant number, since it is smaller than the sum of its proper divisors (1889088).

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

1032096 is a wasteful number, since it uses less digits than its factorization.

1032096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1032096 is about 1015.9212567911. The cubic root of 1032096 is about 101.0586203505.

Adding to 1032096 its reverse (6902301), we get a palindrome (7934397).

The spelling of 1032096 in words is "one million, thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 827 1248 1654 2481 3308 4962 6616 9924 10751 13232 19848 21502 26464 32253 39696 43004 64506 79392 86008 129012 172016 258024 344032 516048 1032096