Search a number
-
+
1055482680 = 2335719411613
BaseRepresentation
bin111110111010010…
…110001100111000
32201120002002001010
4332322112030320
54130200421210
6252422353520
735104311660
oct7672261470
92646062033
101055482680
114a187983a
1225558b8a0
1313a894c85
14a02711a0
15629e0920
hex3ee96338

1055482680 has 256 divisors, whose sum is σ = 3904588800. Its totient is φ = 222842880.

The previous prime is 1055482633. The next prime is 1055482693. The reversal of 1055482680 is 862845501.

It is a super-2 number, since 2×10554826802 = 2228087375559964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 653554 + ... + 655166.

It is an arithmetic number, because the mean of its divisors is an integer number (15252300).

Almost surely, 21055482680 is an apocalyptic number.

1055482680 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 1055482680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952294400).

1055482680 is an abundant number, since it is smaller than the sum of its proper divisors (2849106120).

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

1055482680 is a wasteful number, since it uses less digits than its factorization.

1055482680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 1055482680 is about 32488.1929322023. The cubic root of 1055482680 is about 1018.1623583267.

The spelling of 1055482680 in words is "one billion, fifty-five million, four hundred eighty-two thousand, six hundred eighty".