Search a number
-
+
1103366880 = 2533571131107
BaseRepresentation
bin100000111000100…
…0000101011100000
32211220011211211000
41001301000223200
54224430220010
6301252552000
736225315030
oct10161005340
92756154730
101103366880
11516904960
12269622600
1314778c315
14a67778c0
1566ced7c0
hex41c40ae0

1103366880 has 768 divisors, whose sum is σ = 5016453120. Its totient is φ = 219801600.

The previous prime is 1103366813. The next prime is 1103366893. The reversal of 1103366880 is 886633011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311787 + ... + 10311893.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 21103366880 is an apocalyptic number.

1103366880 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 1103366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508226560).

1103366880 is an abundant number, since it is smaller than the sum of its proper divisors (3913086240).

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

1103366880 is a wasteful number, since it uses less digits than its factorization.

1103366880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1103366880 is about 33216.9667489372. The cubic root of 1103366880 is about 1033.3322437264.

Adding to 1103366880 its reverse (886633011), we get a palindrome (1989999891).

The spelling of 1103366880 in words is "one billion, one hundred three million, three hundred sixty-six thousand, eight hundred eighty".