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1055800980 = 223551317983
BaseRepresentation
bin111110111011100…
…011111010010100
32201120200020200000
4332323203322110
54130241112410
6252433251300
735110105653
oct7673437224
92646606600
101055800980
114a1a769a3
12255703b30
1313a976b10
14a031519a
1562a54dc0
hex3eee3e94

1055800980 has 288 divisors, whose sum is σ = 3790934784. Its totient is φ = 244353024.

The previous prime is 1055800943. The next prime is 1055801023. The reversal of 1055800980 is 890085501.

1055800980 is a `hidden beast` number, since 10 + 558 + 0 + 0 + 98 + 0 = 666.

It is a super-2 number, since 2×10558009802 = 2229431418737920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073569 + ... + 1074551.

It is an arithmetic number, because the mean of its divisors is an integer number (13162968).

Almost surely, 21055800980 is an apocalyptic number.

1055800980 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 1055800980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895467392).

1055800980 is an abundant number, since it is smaller than the sum of its proper divisors (2735133804).

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

1055800980 is a wasteful number, since it uses less digits than its factorization.

1055800980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1055800980 is about 32493.0912656829. The cubic root of 1055800980 is about 1018.2646964994.

It can be divided in two parts, 105 and 5800980, that added together give a palindrome (5801085).

The spelling of 1055800980 in words is "one billion, fifty-five million, eight hundred thousand, nine hundred eighty".