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1068121500 = 223533372113
BaseRepresentation
bin111111101010100…
…011110110011100
32202102212012020120
4333222203312130
54141414342000
6253553314540
735316611565
oct7752436634
92672765216
101068121500
114a8a21546
12259865a50
1314039b974
14a1c0116c
1563b8a6a0
hex3faa3d9c

1068121500 has 96 divisors (see below), whose sum is σ = 3121075776. Its totient is φ = 283852800.

The previous prime is 1068121493. The next prime is 1068121517. The reversal of 1068121500 is 51218601.

It is a super-2 number, since 2×10681215002 = 2281767077524500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504444 + ... + 506556.

It is an arithmetic number, because the mean of its divisors is an integer number (32511206).

Almost surely, 21068121500 is an apocalyptic number.

1068121500 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 1068121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560537888).

1068121500 is an abundant number, since it is smaller than the sum of its proper divisors (2052954276).

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

1068121500 is a wasteful number, since it uses less digits than its factorization.

1068121500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1068121500 is about 32682.1281436812. The cubic root of 1068121500 is about 1022.2102207073.

The spelling of 1068121500 in words is "one billion, sixty-eight million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 337 375 500 674 750 1011 1348 1500 1685 2022 2113 3370 4044 4226 5055 6339 6740 8425 8452 10110 10565 12678 16850 20220 21130 25275 25356 31695 33700 42125 42260 50550 52825 63390 84250 101100 105650 126375 126780 158475 168500 211300 252750 264125 316950 505500 528250 633900 712081 792375 1056500 1424162 1584750 2136243 2848324 3169500 3560405 4272486 7120810 8544972 10681215 14241620 17802025 21362430 35604050 42724860 53406075 71208100 89010125 106812150 178020250 213624300 267030375 356040500 534060750 1068121500