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1128196608 = 2937119539
BaseRepresentation
bin100001100111110…
…1110101000000000
32220121220022210120
41003033232220000
54302304242413
6303541100240
736646340640
oct10317565000
92817808716
101128196608
115299238a0
122759b7680
1314c973b76
14a9b9c520
15690a5723
hex433eea00

1128196608 has 160 divisors (see below), whose sum is σ = 3747617280. Its totient is φ = 293007360.

The previous prime is 1128196607. The next prime is 1128196627. The reversal of 1128196608 is 8066918211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1128196608.

It is not an unprimeable number, because it can be changed into a prime (1128196607) 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 15 ways as a sum of consecutive naturals, for example, 113503 + ... + 123041.

It is an arithmetic number, because the mean of its divisors is an integer number (23422608).

Almost surely, 21128196608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128196608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873808640).

1128196608 is an abundant number, since it is smaller than the sum of its proper divisors (2619420672).

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

1128196608 is an equidigital number, since it uses as much as digits as its factorization.

1128196608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1128196608 is about 33588.6380789695. The cubic root of 1128196608 is about 1041.0260485269.

The spelling of 1128196608 in words is "one billion, one hundred twenty-eight million, one hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9539 9856 10752 14784 16896 19078 19712 28617 29568 38156 39424 57234 59136 66773 76312 104929 114468 118272 133546 152624 200319 209858 228936 267092 305248 314787 400638 419716 457872 534184 610496 629574 734503 801276 839432 915744 1068368 1220992 1259148 1469006 1602552 1678864 1831488 2136736 2203509 2441984 2518296 2938012 3205104 3357728 3662976 4273472 4407018 4883968 5036592 5876024 6410208 6715456 7325952 8546944 8814036 10073184 11752048 12820416 13430912 14651904 17093888 17628072 20146368 23504096 25640832 26861824 34187776 35256144 40292736 47008192 51281664 53723648 70512288 80585472 94016384 102563328 141024576 161170944 188032768 282049152 376065536 564098304 1128196608