Search a number
-
+
1100290048 = 21111132172
BaseRepresentation
bin100000110010101…
…0001100000000000
32211200101112012021
41001211101200000
54223133240143
6301103011224
736160211464
oct10145214000
92750345167
101100290048
115150a3220
12268599b14
13146c52a00
14a61b64a4
15668e1ced
hex41951800

1100290048 has 216 divisors, whose sum is σ = 2760734340. Its totient is φ = 434503680.

The previous prime is 1100290043. The next prime is 1100290067. The reversal of 1100290048 is 8400920011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100290043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64722936 + ... + 64722952.

Almost surely, 21100290048 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 1100290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380367170).

1100290048 is an abundant number, since it is smaller than the sum of its proper divisors (1660444292).

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

1100290048 is a wasteful number, since it uses less digits than its factorization.

1100290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1100290048 is about 33170.6202534713. The cubic root of 1100290048 is about 1032.3708380232.

The spelling of 1100290048 in words is "one billion, one hundred million, two hundred ninety thousand, forty-eight".