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1055800800 = 253252146639
BaseRepresentation
bin111110111011100…
…011110111100000
32201120200020102100
4332323203313200
54130241111200
6252433250400
735110105305
oct7673436740
92646606370
101055800800
114a1a7684a
12255703a00
1313a976a02
14a03150ac
1562a54d00
hex3eee3de0

1055800800 has 108 divisors (see below), whose sum is σ = 3723042960. Its totient is φ = 281544960.

The previous prime is 1055800777. The next prime is 1055800819. The reversal of 1055800800 is 80085501.

1055800800 is a `hidden beast` number, since 1 + 0 + 5 + 580 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×10558008002 = 2229430658561280000, 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 (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66120 + ... + 80519.

It is an arithmetic number, because the mean of its divisors is an integer number (34472620).

Almost surely, 21055800800 is an apocalyptic number.

1055800800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055800800 is an abundant number, since it is smaller than the sum of its proper divisors (2667242160).

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

1055800800 is a wasteful number, since it uses less digits than its factorization.

1055800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146665 (or 146649 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1055800800 is about 32493.0884958632. The cubic root of 1055800800 is about 1018.2646386326.

The spelling of 1055800800 in words is "one billion, fifty-five million, eight hundred thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 146639 293278 439917 586556 733195 879834 1173112 1319751 1466390 1759668 2199585 2346224 2639502 2932780 3519336 3665975 4399170 4692448 5279004 5865560 6598755 7038672 7331950 8798340 10558008 10997925 11731120 13197510 14077344 14663900 17596680 21116016 21995850 23462240 26395020 29327800 32993775 35193360 42232032 43991700 52790040 58655600 65987550 70386720 87983400 105580080 117311200 131975100 175966800 211160160 263950200 351933600 527900400 1055800800