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1082769984 = 263317293141
BaseRepresentation
bin100000010001001…
…1100001001000000
32210110102102012000
41000202130021000
54204142114414
6255235304000
735555251542
oct10042341100
92713372160
101082769984
1150621712a
1226274b000
1314342a2ca
14a3b35692
15650d0b09
hex4089c240

1082769984 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 309657600.

The previous prime is 1082769983. The next prime is 1082769997. The reversal of 1082769984 is 4899672801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1082769984.

It is not an unprimeable number, because it can be changed into a prime (1082769983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26409004 + ... + 26409044.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 21082769984 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 1082769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

1082769984 is an abundant number, since it is smaller than the sum of its proper divisors (2604090816).

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

1082769984 is a wasteful number, since it uses less digits than its factorization.

1082769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1082769984 is about 32905.4704266631. The cubic root of 1082769984 is about 1026.8619684302.

The spelling of 1082769984 in words is "one billion, eighty-two million, seven hundred sixty-nine thousand, nine hundred eighty-four".