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1082014080 = 2735733153
BaseRepresentation
bin100000001111110…
…0011100110000000
32210102000000021120
41000133203212000
54203443422310
6255211152240
735545653000
oct10037434600
92712000246
101082014080
11505850214
12262445680
13143224224
14a39ba000
1564ed1b70
hex407e3980

1082014080 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 234823680.

The previous prime is 1082014069. The next prime is 1082014121. The reversal of 1082014080 is 804102801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1082014080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20415334 + ... + 20415386.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 21082014080 is an apocalyptic number.

1082014080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1082014080 is an abundant number, since it is smaller than the sum of its proper divisors (3148129920).

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

1082014080 is an equidigital number, since it uses as much as digits as its factorization.

1082014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1082014080 is about 32893.9824284017. The cubic root of 1082014080 is about 1026.6229549801.

Adding to 1082014080 its reverse (804102801), we get a palindrome (1886116881).

The spelling of 1082014080 in words is "one billion, eighty-two million, fourteen thousand, eighty".