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1128714048 = 263371117499
BaseRepresentation
bin100001101000110…
…1100111101000000
32220122212121121000
41003101230331000
54302422322143
6304000132000
736653624340
oct10321547500
92818777530
101128714048
1152a147630
12276007000
1314cac5547
14a9c94d20
1569158bd3
hex4346cf40

1128714048 has 448 divisors, whose sum is σ = 4389120000. Its totient is φ = 275374080.

The previous prime is 1128714043. The next prime is 1128714053. The reversal of 1128714048 is 8404178211.

It is an interprime number because it is at equal distance from previous prime (1128714043) and next prime (1128714053).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128714043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261703 + ... + 2262201.

Almost surely, 21128714048 is an apocalyptic number.

1128714048 is a gapful number since it is divisible by the number (18) 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 1128714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560000).

1128714048 is an abundant number, since it is smaller than the sum of its proper divisors (3260405952).

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

1128714048 is a wasteful number, since it uses less digits than its factorization.

1128714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1128714048 is about 33596.3398006390. The cubic root of 1128714048 is about 1041.1851774658.

The spelling of 1128714048 in words is "one billion, one hundred twenty-eight million, seven hundred fourteen thousand, forty-eight".