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1100148480 = 28385131
BaseRepresentation
bin100000110010010…
…1110111100000000
32211200010100000000
41001210232330000
54223114222410
6301100000000
736156051654
oct10144567400
92750110000
101100148480
11515006922
12268530000
13146c03442
14a617aa64
15668b4dc0
hex4192ef00

1100148480 has 324 divisors, whose sum is σ = 3982770792. Its totient is φ = 291133440.

The previous prime is 1100148473. The next prime is 1100148521. The reversal of 1100148480 is 848410011.

1100148480 is a `hidden beast` number, since 1 + 100 + 1 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8398015 + ... + 8398145.

Almost surely, 21100148480 is an apocalyptic number.

1100148480 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 1100148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991385396).

1100148480 is an abundant number, since it is smaller than the sum of its proper divisors (2882622312).

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

1100148480 is an frugal number, since it uses more digits than its factorization.

1100148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1100148480 is about 33168.4862482447. The cubic root of 1100148480 is about 1032.3265597157.

Adding to 1100148480 its reverse (848410011), we get a palindrome (1948558491).

The spelling of 1100148480 in words is "one billion, one hundred million, one hundred forty-eight thousand, four hundred eighty".