Search a number
-
+
1027630656 = 2632131931233
BaseRepresentation
bin111101010000000…
…110011001000000
32122121200001020200
4331100012121000
54101033140111
6245545405200
734315500513
oct7520063100
92577601220
101027630656
11488086138
12248199800
13134b928a0
149a6a0d7a
156033d256
hex3d406640

1027630656 has 336 divisors, whose sum is σ = 3461552640. Its totient is φ = 288645120.

The previous prime is 1027630633. The next prime is 1027630663. The reversal of 1027630656 is 6560367201.

1027630656 is a `hidden beast` number, since 10 + 2 + 7 + 630 + 6 + 5 + 6 = 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 1027630656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410316 + ... + 4410548.

It is an arithmetic number, because the mean of its divisors is an integer number (10302240).

Almost surely, 21027630656 is an apocalyptic number.

1027630656 is a gapful number since it is divisible by the number (16) 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 1027630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730776320).

1027630656 is an abundant number, since it is smaller than the sum of its proper divisors (2433921984).

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

1027630656 is a wasteful number, since it uses less digits than its factorization.

1027630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1027630656 is about 32056.6788048918. The cubic root of 1027630656 is about 1009.1266691712.

Adding to 1027630656 its reverse (6560367201), we get a palindrome (7587997857).

The spelling of 1027630656 in words is "one billion, twenty-seven million, six hundred thirty thousand, six hundred fifty-six".