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1085872914 = 2327194091109
BaseRepresentation
bin100000010111001…
…0001101100010010
32210200021001121100
41000232101230102
54210440413124
6255430005230
735623524150
oct10056215422
92720231540
101085872914
11507a46435
122637a6816
13143c75769
14a43023d0
15654e51c9
hex40b91b12

1085872914 has 96 divisors (see below), whose sum is σ = 2839824000. Its totient is φ = 292937472.

The previous prime is 1085872903. The next prime is 1085872927. The reversal of 1085872914 is 4192785801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085872914.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978592 + ... + 979700.

It is an arithmetic number, because the mean of its divisors is an integer number (29581500).

Almost surely, 21085872914 is an apocalyptic number.

1085872914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085872914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419912000).

1085872914 is an abundant number, since it is smaller than the sum of its proper divisors (1753951086).

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

1085872914 is a wasteful number, since it uses less digits than its factorization.

1085872914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1085872914 is about 32952.5858469408. The cubic root of 1085872914 is about 1027.8419370952.

The spelling of 1085872914 in words is "one billion, eighty-five million, eight hundred seventy-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 409 798 818 1109 1197 1227 2218 2394 2454 2863 3327 3681 5726 6654 7362 7763 7771 8589 9981 15526 15542 17178 19962 21071 23289 23313 25767 42142 46578 46626 51534 54397 63213 69867 69939 108794 126426 139734 139878 147497 163191 189639 294994 326382 379278 442491 453581 489573 884982 907162 979146 1327473 1360743 2654946 2721486 3175067 4082229 6350134 8164458 8618039 9525201 17236078 19050402 25854117 28575603 51708234 57151206 60326273 77562351 120652546 155124702 180978819 361957638 542936457 1085872914