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1082870208 = 26357429
BaseRepresentation
bin100000010001011…
…0100100111000000
32210110121111200000
41000202310213000
54204203321313
6255241400000
735556150000
oct10042644700
92713544600
101082870208
11506285462
12262799000
13143463b04
14a3b60000
1565100673
hex408b49c0

1082870208 has 420 divisors, whose sum is σ = 3884538840. Its totient is φ = 298722816.

The previous prime is 1082870197. The next prime is 1082870219. The reversal of 1082870208 is 8020782801.

It is an interprime number because it is at equal distance from previous prime (1082870197) and next prime (1082870219).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37340338 + ... + 37340366.

It is an arithmetic number, because the mean of its divisors is an integer number (9248902).

Almost surely, 21082870208 is an apocalyptic number.

1082870208 is a gapful number since it is divisible by the number (18) 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 1082870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942269420).

1082870208 is an abundant number, since it is smaller than the sum of its proper divisors (2801668632).

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

1082870208 is an frugal number, since it uses more digits than its factorization.

1082870208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1082870208 is about 32906.9932992973. The cubic root of 1082870208 is about 1026.8936504557.

The spelling of 1082870208 in words is "one billion, eighty-two million, eight hundred seventy thousand, two hundred eight".