Search a number
-
+
103496085 = 325721117251
BaseRepresentation
bin1100010101100…
…11100110010101
321012202010221100
412022303212111
5202443333320
614134140313
72364462600
oct612634625
9235663840
10103496085
115346a160
122a7b1699
1318598bb4
14da61337
159145790
hex62b3995

103496085 has 144 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 40320000.

The previous prime is 103496069. The next prime is 103496101. The reversal of 103496085 is 580694301.

103496085 is a `hidden beast` number, since 1 + 0 + 3 + 49 + 608 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (103496069) and next prime (103496101).

It is not a de Polignac number, because 103496085 - 24 = 103496069 is a prime.

It is a super-2 number, since 2×1034960852 = 21422879220654450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 412210 + ... + 412460.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2103496085 is an apocalyptic number.

103496085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103496085 is an abundant number, since it is smaller than the sum of its proper divisors (138508587).

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

103496085 is a wasteful number, since it uses less digits than its factorization.

103496085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 103496085 is about 10173.3025611155. The cubic root of 103496085 is about 469.5061736404.

The spelling of 103496085 in words is "one hundred three million, four hundred ninety-six thousand, eighty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 49 51 55 63 77 85 99 105 119 147 153 165 187 231 245 251 255 315 357 385 441 495 539 561 595 693 735 753 765 833 935 1071 1155 1255 1309 1617 1683 1757 1785 2205 2259 2499 2695 2761 2805 3465 3765 3927 4165 4267 4851 5271 5355 6545 7497 8085 8283 8415 8785 9163 11295 11781 12299 12495 12801 13805 15813 19327 19635 21335 24255 24849 26355 27489 29869 36897 37485 38403 41415 45815 46937 57981 58905 61495 64005 79065 82467 89607 96635 110691 124245 135289 137445 140811 149345 173943 184485 192015 209083 234685 268821 289905 328559 405867 412335 422433 448035 553455 627249 676445 704055 869715 985677 1045415 1217601 1344105 1642795 1881747 2029335 2112165 2299913 2957031 3136245 4928385 6088005 6899739 9408735 11499565 14785155 20699217 34498695 103496085