Search a number
-
+
1085321840 = 24513566523
BaseRepresentation
bin100000010110000…
…1011001001110000
32210122020001200012
41000230023021300
54210320244330
6255410114052
735616040421
oct10054131160
92718201605
101085321840
115076aa3a9
1226357b928
13143b11995
14a41db648
1565436c95
hex40b0b270

1085321840 has 20 divisors (see below), whose sum is σ = 2523373464. Its totient is φ = 434128704.

The previous prime is 1085321827. The next prime is 1085321843. The reversal of 1085321840 is 481235801.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10853218403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1085321797 and 1085321806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085321843) 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 3 ways as a sum of consecutive naturals, for example, 6783182 + ... + 6783341.

Almost surely, 21085321840 is an apocalyptic number.

1085321840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085321840 is an abundant number, since it is smaller than the sum of its proper divisors (1438051624).

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

1085321840 is a wasteful number, since it uses less digits than its factorization.

1085321840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566536 (or 13566530 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1085321840 is about 32944.2231658298. The cubic root of 1085321840 is about 1027.6680331312.

The spelling of 1085321840 in words is "one billion, eighty-five million, three hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13566523 27133046 54266092 67832615 108532184 135665230 217064368 271330460 542660920 1085321840