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1120788480 = 2133571303
BaseRepresentation
bin100001011001101…
…1110000000000000
32220002221221202110
41002303132000000
54243410212410
6303114215320
736526354620
oct10263360000
92802857673
101120788480
11525723a79
12273424540
1314b27bc66
14a8bd0880
15685e0720
hex42cde000

1120788480 has 224 divisors, whose sum is σ = 4101778944. Its totient is φ = 255983616.

The previous prime is 1120788479. The next prime is 1120788499. The reversal of 1120788480 is 848870211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859509 + ... + 860811.

Almost surely, 21120788480 is an apocalyptic number.

1120788480 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 1120788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050889472).

1120788480 is an abundant number, since it is smaller than the sum of its proper divisors (2980990464).

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

1120788480 is an equidigital number, since it uses as much as digits as its factorization.

1120788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 1120788480 is about 33478.1791619556. The cubic root of 1120788480 is about 1038.7424642606.

The spelling of 1120788480 in words is "one billion, one hundred twenty million, seven hundred eighty-eight thousand, four hundred eighty".