Search a number
-
+
1099506144 = 253111773839
BaseRepresentation
bin100000110001001…
…0010000111100000
32211121220200212210
41001202102013200
54222433144034
6301034122120
736150435162
oct10142220740
92747820783
101099506144
11514708270
12268280340
13146a39c69
14a6050932
15667d98e9
hex418921e0

1099506144 has 192 divisors, whose sum is σ = 3383493120. Its totient is φ = 308920320.

The previous prime is 1099506137. The next prime is 1099506167. The reversal of 1099506144 is 4416059901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310077 + ... + 1310915.

It is an arithmetic number, because the mean of its divisors is an integer number (17622360).

Almost surely, 21099506144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691746560).

1099506144 is an abundant number, since it is smaller than the sum of its proper divisors (2283986976).

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

1099506144 is a wasteful number, since it uses less digits than its factorization.

1099506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1099506144 is about 33158.8019083923. The cubic root of 1099506144 is about 1032.1256081713.

The spelling of 1099506144 in words is "one billion, ninety-nine million, five hundred six thousand, one hundred forty-four".