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1128117732 = 2237137167587
BaseRepresentation
bin100001100111101…
…1011010111100100
32220121202022121020
41003033123113210
54302244231412
6303535251140
736645561660
oct10317332744
92817668536
101128117732
1152987a605
12275979ab0
1314c946cb1
14a9b7b8a0
156908c18c
hex433db5e4

1128117732 has 96 divisors (see below), whose sum is σ = 3053611008. Its totient is φ = 317508864.

The previous prime is 1128117707. The next prime is 1128117737. The reversal of 1128117732 is 2377118211.

It is a junction number, because it is equal to n+sod(n) for n = 1128117693 and 1128117702.

It is not an unprimeable number, because it can be changed into a prime (1128117737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1921543 + ... + 1922129.

It is an arithmetic number, because the mean of its divisors is an integer number (31808448).

Almost surely, 21128117732 is an apocalyptic number.

1128117732 is a gapful number since it is divisible by the number (12) 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 1128117732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526805504).

1128117732 is an abundant number, since it is smaller than the sum of its proper divisors (1925493276).

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

1128117732 is a wasteful number, since it uses less digits than its factorization.

1128117732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 1128117732 is about 33587.4639114060. The cubic root of 1128117732 is about 1041.0017874233.

The spelling of 1128117732 in words is "one billion, one hundred twenty-eight million, one hundred seventeen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 167 274 334 411 501 548 587 668 822 959 1002 1169 1174 1644 1761 1918 2004 2338 2348 2877 3507 3522 3836 4109 4676 5754 7014 7044 8218 11508 12327 14028 16436 22879 24654 45758 49308 68637 80419 91516 98029 137274 160153 160838 196058 241257 274548 294087 320306 321676 392116 480459 482514 562933 588174 640612 686203 960918 965028 1125866 1176348 1372406 1688799 1921836 2058609 2251732 2744812 3377598 4117218 6755196 8234436 13429973 26859946 40289919 53719892 80579838 94009811 161159676 188019622 282029433 376039244 564058866 1128117732