Search a number
-
+
1055316480 = 29351759137
BaseRepresentation
bin111110111001101…
…101101000000000
32201112202122001120
4332321231220000
54130130111410
6252415032240
735103020301
oct7671555000
92645678046
101055316480
114a1775989
1225550b680
1313a83742a
14a022a7a8
15629ab570
hex3ee6da00

1055316480 has 320 divisors, whose sum is σ = 3659230080. Its totient is φ = 258473984.

The previous prime is 1055316469. The next prime is 1055316499. The reversal of 1055316480 is 846135501.

1055316480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10553164802 = 2227385745919180800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7702972 + ... + 7703108.

It is an arithmetic number, because the mean of its divisors is an integer number (11435094).

Almost surely, 21055316480 is an apocalyptic number.

1055316480 is a gapful number since it is divisible by the number (10) 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 1055316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829615040).

1055316480 is an abundant number, since it is smaller than the sum of its proper divisors (2603913600).

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

1055316480 is a wasteful number, since it uses less digits than its factorization.

1055316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1055316480 is about 32485.6349791719. The cubic root of 1055316480 is about 1018.1089143843.

The spelling of 1055316480 in words is "one billion, fifty-five million, three hundred sixteen thousand, four hundred eighty".