Search a number
-
+
1100274840 = 233557103157
BaseRepresentation
bin100000110010100…
…1101110010011000
32211200100202100000
41001211031302120
54223132243330
6301102413000
736160116240
oct10145156230
92750322300
101100274840
11515092855
12268591160
13146c48b02
14a61b0b20
15668dc560
hex4194dc98

1100274840 has 384 divisors, whose sum is σ = 4306498560. Its totient is φ = 247463424.

The previous prime is 1100274839. The next prime is 1100274863. The reversal of 1100274840 is 484720011.

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

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 95 ways as a sum of consecutive naturals, for example, 7008042 + ... + 7008198.

It is an arithmetic number, because the mean of its divisors is an integer number (11214840).

Almost surely, 21100274840 is an apocalyptic number.

1100274840 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 1100274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153249280).

1100274840 is an abundant number, since it is smaller than the sum of its proper divisors (3206223720).

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

1100274840 is a wasteful number, since it uses less digits than its factorization.

1100274840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1100274840 is about 33170.3910136736. The cubic root of 1100274840 is about 1032.3660815901.

Adding to 1100274840 its reverse (484720011), we get a palindrome (1584994851).

The spelling of 1100274840 in words is "one billion, one hundred million, two hundred seventy-four thousand, eight hundred forty".