Search a number
-
+
1096835040 = 253357192383
BaseRepresentation
bin100000101100000…
…0101111111100000
32211102212222211000
41001120011333200
54221242210130
6300500552000
736115641540
oct10130057740
92742788730
101096835040
11513153444
122673b2600
13146313222
14a5957320
156645d260
hex41605fe0

1096835040 has 768 divisors, whose sum is σ = 4877107200. Its totient is φ = 224446464.

The previous prime is 1096834997. The next prime is 1096835081. The reversal of 1096835040 is 405386901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1096834986 and 1096835004.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 13214839 + ... + 13214921.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 21096835040 is an apocalyptic number.

1096835040 is a gapful number since it is divisible by the number (10) 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 1096835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438553600).

1096835040 is an abundant number, since it is smaller than the sum of its proper divisors (3780272160).

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

1096835040 is a wasteful number, since it uses less digits than its factorization.

1096835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1096835040 is about 33118.4999660311. The cubic root of 1096835040 is about 1031.2891264494.

The spelling of 1096835040 in words is "one billion, ninety-six million, eight hundred thirty-five thousand, forty".