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1053042200 = 235272937701
BaseRepresentation
bin111110110001000…
…010011000011000
32201101111002022222
4332301002120120
54124034322300
6252254203212
735044465610
oct7661023030
92641432288
101053042200
114a0462211
122547b3508
1313a21c1c2
149dbd7a40
15626ac785
hex3ec42618

1053042200 has 192 divisors, whose sum is σ = 2977041600. Its totient is φ = 338688000.

The previous prime is 1053042157. The next prime is 1053042227. The reversal of 1053042200 is 22403501.

It is a super-2 number, since 2×10530422002 = 2217795749961680000, 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501850 + ... + 1502550.

It is an arithmetic number, because the mean of its divisors is an integer number (15505425).

Almost surely, 21053042200 is an apocalyptic number.

1053042200 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 1053042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488520800).

1053042200 is an abundant number, since it is smaller than the sum of its proper divisors (1923999400).

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

1053042200 is a wasteful number, since it uses less digits than its factorization.

1053042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1053042200 is about 32450.6117045581. The cubic root of 1053042200 is about 1017.3770233327.

Adding to 1053042200 its reverse (22403501), we get a palindrome (1075445701).

The spelling of 1053042200 in words is "one billion, fifty-three million, forty-two thousand, two hundred".