Search a number
-
+
1056665088 = 293619149
BaseRepresentation
bin111110111110110…
…110111000000000
32201122022011000000
4332332312320000
54131001240323
6252504000000
735120335143
oct7676667000
92648264000
101056665088
114a2507136
12255a60000
1313abba21b
14a049c05a
1562b75e43
hex3efb6e00

1056665088 has 280 divisors, whose sum is σ = 3354417000. Its totient is φ = 331444224.

The previous prime is 1056665063. The next prime is 1056665089. The reversal of 1056665088 is 8805666501.

It is a super-2 number, since 2×10566650882 = 2233082216396095488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056665089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7091638 + ... + 7091786.

Almost surely, 21056665088 is an apocalyptic number.

1056665088 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 1056665088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677208500).

1056665088 is an abundant number, since it is smaller than the sum of its proper divisors (2297751912).

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

1056665088 is an frugal number, since it uses more digits than its factorization.

1056665088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1056665088 is about 32506.3853419601. The cubic root of 1056665088 is about 1018.5424163699.

The spelling of 1056665088 in words is "one billion, fifty-six million, six hundred sixty-five thousand, eighty-eight".