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1082080476 = 2232192695881
BaseRepresentation
bin100000001111111…
…0011110011011100
32210102010101100200
41000133303303130
54204003033401
6255212423500
735546350401
oct10037636334
92712111320
101082080476
11505896094
12262477b90
13143248509
14a39d62a8
1564ee6686
hex407f3cdc

1082080476 has 72 divisors (see below), whose sum is σ = 2890414800. Its totient is φ = 340381440.

The previous prime is 1082080427. The next prime is 1082080477. The reversal of 1082080476 is 6740802801.

1082080476 is a `hidden beast` number, since 108 + 2 + 0 + 80 + 476 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1082080476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082080477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181056 + ... + 186936.

It is an arithmetic number, because the mean of its divisors is an integer number (40144650).

Almost surely, 21082080476 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 1082080476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445207400).

1082080476 is an abundant number, since it is smaller than the sum of its proper divisors (1808334324).

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

1082080476 is a wasteful number, since it uses less digits than its factorization.

1082080476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1082080476 is about 32894.9916552657. The cubic root of 1082080476 is about 1026.6439535557.

The spelling of 1082080476 in words is "one billion, eighty-two million, eighty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 269 342 538 684 807 1076 1614 2421 3228 4842 5111 5881 9684 10222 11762 15333 17643 20444 23524 30666 35286 45999 52929 61332 70572 91998 105858 111739 183996 211716 223478 335217 446956 670434 1005651 1340868 1581989 2011302 3163978 4022604 4745967 6327956 9491934 14237901 18983868 28475802 30057791 56951604 60115582 90173373 120231164 180346746 270520119 360693492 541040238 1082080476