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1085579145 = 33571148761
BaseRepresentation
bin100000010110100…
…1001111110001001
32210122201010122000
41000231021332021
54210402013040
6255415421213
735621161530
oct10055117611
92718633560
101085579145
11507865752
12263684809
13143ba1b31
14a4267317
1565488130
hex40b49f89

1085579145 has 32 divisors (see below), whose sum is σ = 2205623040. Its totient is φ = 496264320.

The previous prime is 1085579141. The next prime is 1085579147. The reversal of 1085579145 is 5419755801.

1085579145 is a `hidden beast` number, since 1 + 0 + 8 + 557 + 91 + 4 + 5 = 666.

It is not a de Polignac number, because 1085579145 - 22 = 1085579141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1085579145.

It is not an unprimeable number, because it can be changed into a prime (1085579141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573436 + ... + 575325.

It is an arithmetic number, because the mean of its divisors is an integer number (68925720).

Almost surely, 21085579145 is an apocalyptic number.

1085579145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085579145 is an abundant number, since it is smaller than the sum of its proper divisors (1120043895).

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

1085579145 is a wasteful number, since it uses less digits than its factorization.

1085579145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148782 (or 1148776 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The square root of 1085579145 is about 32948.1280955383. The cubic root of 1085579145 is about 1027.7492389143.

It can be divided in two parts, 10855 and 79145, that added together give a square (90000 = 3002).

The spelling of 1085579145 in words is "one billion, eighty-five million, five hundred seventy-nine thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1148761 3446283 5743805 8041327 10338849 17231415 24123981 31016547 40206635 51694245 72371943 120619905 155082735 217115829 361859715 1085579145