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1126284480 = 26335612137
BaseRepresentation
bin100001100100001…
…1011110011000000
32220111022011212000
41003020123303000
54301312100410
6303432104000
736624155136
oct10310336300
92814264760
101126284480
11528838222
12275235000
1314c454729
14a9821756
1568d28dc0
hex4321bcc0

1126284480 has 224 divisors, whose sum is σ = 4040306880. Its totient is φ = 295280640.

The previous prime is 1126284457. The next prime is 1126284491. The reversal of 1126284480 is 844826211.

1126284480 is a `hidden beast` number, since 112 + 62 + 8 + 4 + 480 = 666.

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

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, 525972 + ... + 528108.

Almost surely, 21126284480 is an apocalyptic number.

1126284480 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 1126284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020153440).

1126284480 is an abundant number, since it is smaller than the sum of its proper divisors (2914022400).

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

1126284480 is a wasteful number, since it uses less digits than its factorization.

1126284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1126284480 is about 33560.1620973439. The cubic root of 1126284480 is about 1040.4375870596.

The spelling of 1126284480 in words is "one billion, one hundred twenty-six million, two hundred eighty-four thousand, four hundred eighty".