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2055781000 = 2353713192941
BaseRepresentation
bin111101010001000…
…1011101010001000
312022021022111101001
41322202023222020
513202234443000
6535554304344
7101641564420
oct17242135210
95267274331
102055781000
11965486769
124945880b4
13269ba7b80
14157059480
15c073046a
hex7a88ba88

2055781000 has 512 divisors, whose sum is σ = 6604416000. Its totient is φ = 580608000.

The previous prime is 2055780997. The next prime is 2055781001. The reversal of 2055781000 is 1875502.

It is a super-2 number, since 2×20557810002 = 8452471039922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2055781000.

It is not an unprimeable number, because it can be changed into a prime (2055781001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50140980 + ... + 50141020.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 22055781000 is an apocalyptic number.

2055781000 is a gapful number since it is divisible by the number (20) 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 2055781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

2055781000 is an abundant number, since it is smaller than the sum of its proper divisors (4548635000).

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

2055781000 is a wasteful number, since it uses less digits than its factorization.

2055781000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 2055781000 is about 45340.7212117320. The cubic root of 2055781000 is about 1271.5270861077.

The spelling of 2055781000 in words is "two billion, fifty-five million, seven hundred eighty-one thousand".