Search a number
-
+
1103196640 = 255713174457
BaseRepresentation
bin100000111000001…
…0111000111100000
32211212212012021211
41001300113013200
54224404243030
6301245155504
736224005510
oct10160270740
92755765254
101103196640
115167a8a67
1226955bb94
1314772c9a0
14a6731840
1566cb812a
hex41c171e0

1103196640 has 192 divisors, whose sum is σ = 3397209984. Its totient is φ = 328531968.

The previous prime is 1103196637. The next prime is 1103196649. The reversal of 1103196640 is 466913011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103196649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245292 + ... + 249748.

It is an arithmetic number, because the mean of its divisors is an integer number (17693802).

Almost surely, 21103196640 is an apocalyptic number.

1103196640 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 1103196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698604992).

1103196640 is an abundant number, since it is smaller than the sum of its proper divisors (2294013344).

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

1103196640 is a wasteful number, since it uses less digits than its factorization.

1103196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1103196640 is about 33214.4041042437. The cubic root of 1103196640 is about 1033.2790962399.

The spelling of 1103196640 in words is "one billion, one hundred three million, one hundred ninety-six thousand, six hundred forty".