Search a number
-
+
1096200 = 233352729
BaseRepresentation
bin100001011101000001000
32001200201000
410023220020
5240034300
635255000
712213630
oct4135010
92050630
101096200
11689656
1244a460
132c4c51
142076c0
15169c00
hex10ba08

1096200 has 192 divisors, whose sum is σ = 4464000. Its totient is φ = 241920.

The previous prime is 1096189. The next prime is 1096201. The reversal of 1096200 is 26901.

It can be divided in two parts, 1096 and 200, that added together give a 4-th power (1296 = 64).

1096200 = 382 + 392 + ... + 1492.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1096201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37786 + ... + 37814.

It is an arithmetic number, because the mean of its divisors is an integer number (23250).

21096200 is an apocalyptic number.

1096200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1096200 is the 560-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1096200 is an abundant number, since it is smaller than the sum of its proper divisors (3367800).

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

1096200 is a wasteful number, since it uses less digits than its factorization.

1096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1096200 is about 1046.9957019969. The cubic root of 1096200 is about 103.1090057840.

The spelling of 1096200 in words is "one million, ninety-six thousand, two hundred".