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1099285668 = 223413318419
BaseRepresentation
bin100000110000101…
…1100010010100100
32211121111111110000
41001201130102210
54222404120133
6301025301300
736145526325
oct10141342244
92747444400
101099285668
11514577658
12268194830
131469907c0
14a5dd444c
1566794413
hex4185c4a4

1099285668 has 120 divisors (see below), whose sum is σ = 3195019520. Its totient is φ = 327291840.

The previous prime is 1099285639. The next prime is 1099285673. The reversal of 1099285668 is 8665829901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126363 + ... + 134781.

Almost surely, 21099285668 is an apocalyptic number.

1099285668 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 1099285668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597509760).

1099285668 is an abundant number, since it is smaller than the sum of its proper divisors (2095733852).

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

1099285668 is a wasteful number, since it uses less digits than its factorization.

1099285668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1099285668 is about 33155.4771945753. The cubic root of 1099285668 is about 1032.0566153364.

The spelling of 1099285668 in words is "one billion, ninety-nine million, two hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 2106 2418 2511 3348 3627 4212 4836 5022 7254 8419 10044 10881 14508 16838 21762 25257 32643 33676 43524 50514 65286 75771 101028 109447 130572 151542 218894 227313 260989 303084 328341 437788 454626 521978 656682 681939 782967 909252 985023 1043956 1313364 1363878 1565934 1970046 2348901 2727756 2955069 3131868 3392857 3940092 4697802 5910138 6785714 7046703 8865207 9395604 10178571 11820276 13571428 14093406 17730414 20357142 21140109 28186812 30535713 35460828 40714284 42280218 61071426 84560436 91607139 122142852 183214278 274821417 366428556 549642834 1099285668