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1085349996 = 2233193831381
BaseRepresentation
bin100000010110001…
…0010000001101100
32210122021111022000
41000230102001230
54210322144441
6255410452300
735616215463
oct10054220154
92718244260
101085349996
11507719575
12263594090
13143b21743
14a42079da
15654402b6
hex40b1206c

1085349996 has 96 divisors (see below), whose sum is σ = 2971852800. Its totient is φ = 341599680.

The previous prime is 1085349943. The next prime is 1085350009. The reversal of 1085349996 is 6999435801.

1085349996 is a `hidden beast` number, since 10 + 8 + 53 + 499 + 96 = 666.

It is a super-2 number, since 2×10853499962 = 2355969227634400032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785226 + ... + 786606.

It is an arithmetic number, because the mean of its divisors is an integer number (30956800).

Almost surely, 21085349996 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 1085349996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485926400).

1085349996 is an abundant number, since it is smaller than the sum of its proper divisors (1886502804).

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

1085349996 is a wasteful number, since it uses less digits than its factorization.

1085349996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1085349996 is about 32944.6504913924. The cubic root of 1085349996 is about 1027.6769198257.

The spelling of 1085349996 in words is "one billion, eighty-five million, three hundred forty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 383 513 684 766 1026 1149 1381 1532 2052 2298 2762 3447 4143 4596 5524 6894 7277 8286 10341 12429 13788 14554 16572 20682 21831 24858 26239 29108 37287 41364 43662 49716 52478 65493 74574 78717 87324 104956 130986 149148 157434 196479 236151 261972 314868 392958 472302 528923 708453 785916 944604 1057846 1416906 1586769 2115692 2833812 3173538 4760307 6347076 9520614 10049537 14280921 19041228 20099074 28561842 30148611 40198148 57123684 60297222 90445833 120594444 180891666 271337499 361783332 542674998 1085349996