Search a number
-
+
9805068 = 22327134173
BaseRepresentation
bin100101011001…
…110100001100
3200110011000200
4211121310030
510002230233
6550053500
7146225130
oct45316414
920404020
109805068
115597769
12334a290
132053c20
1414333c0
15cda313
hex959d0c

9805068 has 144 divisors (see below), whose sum is σ = 31676736. Its totient is φ = 2488320.

The previous prime is 9805067. The next prime is 9805069. The reversal of 9805068 is 8605089.

It is an interprime number because it is at equal distance from previous prime (9805067) and next prime (9805069).

It is a super-2 number, since 2×98050682 = 192278716969248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9805063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134280 + ... + 134352.

Almost surely, 29805068 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 9805068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838368).

9805068 is an abundant number, since it is smaller than the sum of its proper divisors (21871668).

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

9805068 is a wasteful number, since it uses less digits than its factorization.

9805068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9805068 is about 3131.3045204834. The cubic root of 9805068 is about 214.0343788481.

The spelling of 9805068 in words is "nine million, eight hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 73 78 82 84 91 117 123 126 146 156 164 182 219 234 246 252 273 287 292 364 369 438 468 492 511 533 546 574 657 738 819 861 876 949 1022 1066 1092 1148 1314 1476 1533 1599 1638 1722 1898 2044 2132 2583 2628 2847 2993 3066 3198 3276 3444 3731 3796 4599 4797 5166 5694 5986 6132 6396 6643 7462 8541 8979 9198 9594 10332 11193 11388 11972 13286 14924 17082 17958 18396 19188 19929 20951 22386 26572 26937 33579 34164 35916 38909 39858 41902 44772 53874 59787 62853 67158 77818 79716 83804 107748 116727 119574 125706 134316 155636 188559 233454 239148 251412 272363 350181 377118 466908 544726 700362 754236 817089 1089452 1400724 1634178 2451267 3268356 4902534 9805068