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1085855274 = 23375035711
BaseRepresentation
bin100000010111000…
…1101011000101010
32210200020011102000
41000232031120222
54210434332044
6255425351430
735623421550
oct10056153052
92720204360
101085855274
11507a34159
12263798576
13143c6a71a
14a42d9bd0
15654ded69
hex40b8d62a

1085855274 has 64 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 309573360.

The previous prime is 1085855261. The next prime is 1085855311. The reversal of 1085855274 is 4725585801.

1085855274 is a `hidden beast` number, since 10 + 8 + 585 + 52 + 7 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187279 + ... + 192989.

It is an arithmetic number, because the mean of its divisors is an integer number (43182720).

Almost surely, 21085855274 is an apocalyptic number.

1085855274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085855274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1085855274 is an abundant number, since it is smaller than the sum of its proper divisors (1677838806).

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

1085855274 is a wasteful number, since it uses less digits than its factorization.

1085855274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 1085855274 is about 32952.3181885584. The cubic root of 1085855274 is about 1027.8363713027.

The spelling of 1085855274 in words is "one billion, eighty-five million, eight hundred fifty-five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 503 1006 1509 3018 3521 4527 5711 7042 9054 10563 11422 13581 17133 21126 27162 31689 34266 39977 51399 63378 79954 95067 102798 119931 154197 190134 239862 308394 359793 719586 1079379 2158758 2872633 5745266 8617899 17235798 20108431 25853697 40216862 51707394 60325293 77561091 120650586 155122182 180975879 361951758 542927637 1085855274