Search a number
-
+
1085223120 = 24356767489
BaseRepresentation
bin100000010101111…
…0011000011010000
32210122001001020220
41000223303003100
54210304114440
6255404033040
735615146542
oct10053630320
92718031226
101085223120
11507642213
12263532780
13143aa8a77
14a41b3692
15654178d0
hex40af30d0

1085223120 has 80 divisors (see below), whose sum is σ = 3414454080. Its totient is φ = 285069312.

The previous prime is 1085223119. The next prime is 1085223127. The reversal of 1085223120 is 213225801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085223127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17665 + ... + 49824.

It is an arithmetic number, because the mean of its divisors is an integer number (42680676).

Almost surely, 21085223120 is an apocalyptic number.

1085223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085223120 is an abundant number, since it is smaller than the sum of its proper divisors (2329230960).

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

1085223120 is a wasteful number, since it uses less digits than its factorization.

1085223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67572 (or 67566 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1085223120 is about 32942.7248417613. The cubic root of 1085223120 is about 1027.6368735677.

Adding to 1085223120 its reverse (213225801), we get a palindrome (1298448921).

The spelling of 1085223120 in words is "one billion, eighty-five million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 67489 134978 202467 269956 337445 404934 539912 674890 809868 1012335 1079824 1349780 1619736 2024670 2699560 3239472 4049340 4521763 5399120 8098680 9043526 13565289 16197360 18087052 22608815 27130578 36174104 45217630 54261156 67826445 72348208 90435260 108522312 135652890 180870520 217044624 271305780 361741040 542611560 1085223120