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1085429268 = 2233711130523
BaseRepresentation
bin100000010110010…
…0101011000010100
32210122102112001000
41000230211120110
54210332214033
6255412303300
735616665550
oct10054453024
92718375030
101085429268
11507773090
12263611b30
13143b4b851
14a4228860
1565458a13
hex40b25614

1085429268 has 96 divisors (see below), whose sum is σ = 3508485120. Its totient is φ = 281927520.

The previous prime is 1085429231. The next prime is 1085429273. The reversal of 1085429268 is 8629245801.

1085429268 is a `hidden beast` number, since 10 + 8 + 542 + 92 + 6 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 56946 + ... + 73577.

It is an arithmetic number, because the mean of its divisors is an integer number (36546720).

Almost surely, 21085429268 is an apocalyptic number.

1085429268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1085429268 is an abundant number, since it is smaller than the sum of its proper divisors (2423055852).

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

1085429268 is a wasteful number, since it uses less digits than its factorization.

1085429268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130554 (or 130546 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1085429268 is about 32945.8535782578. The cubic root of 1085429268 is about 1027.7019391042.

The spelling of 1085429268 in words is "one billion, eighty-five million, four hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 130523 261046 391569 522092 783138 913661 1174707 1435753 1566276 1827322 2349414 2740983 2871506 3524121 3654644 4307259 4698828 5481966 5743012 7048242 8222949 8614518 10050271 10963932 12921777 14096484 16445898 17229036 20100542 24668847 25843554 30150813 32891796 38765331 40201084 49337694 51687108 60301626 77530662 90452439 98675388 120603252 155061324 180904878 271357317 361809756 542714634 1085429268