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1128245376 = 27327710607
BaseRepresentation
bin100001100111111…
…1010100010000000
32220121222210200210
41003033322202000
54302312323001
6303542114120
736646633056
oct10317724200
92817883623
101128245376
115299574a5
12275a1b940
1314c99011b
14a9bb21d6
15690b4dd6
hex433fa880

1128245376 has 64 divisors (see below), whose sum is σ = 3008004480. Its totient is φ = 374688768.

The previous prime is 1128245369. The next prime is 1128245389. The reversal of 1128245376 is 6735428211.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101065 + ... + 111671.

It is an arithmetic number, because the mean of its divisors is an integer number (47000070).

Almost surely, 21128245376 is an apocalyptic number.

1128245376 is a gapful number since it is divisible by the number (16) 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 1128245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504002240).

1128245376 is an abundant number, since it is smaller than the sum of its proper divisors (1879759104).

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

1128245376 is a wasteful number, since it uses less digits than its factorization.

1128245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10889 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1128245376 is about 33589.3640308953. The cubic root of 1128245376 is about 1041.0410482844.

The spelling of 1128245376 in words is "one billion, one hundred twenty-eight million, two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 2216 3324 4432 6648 8864 10607 13296 17728 21214 26592 31821 35456 42428 53184 63642 84856 106368 127284 169712 254568 339424 509136 678848 1018272 1357696 2036544 2938139 4073088 5876278 8814417 11752556 17628834 23505112 35257668 47010224 70515336 94020448 141030672 188040896 282061344 376081792 564122688 1128245376