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1126455120 = 243357229367
BaseRepresentation
bin100001100100100…
…0101011101010000
32220111121211221000
41003021011131100
54301333030440
6303435502000
736625465500
oct10311053520
92814554830
101126455120
1152894444a
122752b7900
1314c4b42bb
14a9867a00
1568d5e730
hex43245750

1126455120 has 480 divisors, whose sum is σ = 4681843200. Its totient is φ = 247919616.

The previous prime is 1126455101. The next prime is 1126455137. The reversal of 1126455120 is 215546211.

1126455120 is a `hidden beast` number, since 1 + 1 + 2 + 645 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×11264551202 = 2537802274748428800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3069177 + ... + 3069543.

It is an arithmetic number, because the mean of its divisors is an integer number (9753840).

Almost surely, 21126455120 is an apocalyptic number.

1126455120 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 1126455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340921600).

1126455120 is an abundant number, since it is smaller than the sum of its proper divisors (3555388080).

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

1126455120 is a wasteful number, since it uses less digits than its factorization.

1126455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1126455120 is about 33562.7043010542. The cubic root of 1126455120 is about 1040.4901289374.

The spelling of 1126455120 in words is "one billion, one hundred twenty-six million, four hundred fifty-five thousand, one hundred twenty".