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1055265120 = 253257138053
BaseRepresentation
bin111110111001100…
…001000101100000
32201112200000121100
4332321201011200
54130121440440
6252413554400
735102414460
oct7671410540
92645600540
101055265120
114a1740338
122554a5a00
1313a819c40
14a0215ba0
156299b230
hex3ee61160

1055265120 has 288 divisors, whose sum is σ = 4432663872. Its totient is φ = 222621696.

The previous prime is 1055265109. The next prime is 1055265121. The reversal of 1055265120 is 215625501.

1055265120 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10552651202 = 2227168946977228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055265121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127014 + ... + 135066.

It is an arithmetic number, because the mean of its divisors is an integer number (15391194).

Almost surely, 21055265120 is an apocalyptic number.

1055265120 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 1055265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216331936).

1055265120 is an abundant number, since it is smaller than the sum of its proper divisors (3377398752).

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

1055265120 is a wasteful number, since it uses less digits than its factorization.

1055265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1055265120 is about 32484.8444663046. The cubic root of 1055265120 is about 1018.0923977206.

The spelling of 1055265120 in words is "one billion, fifty-five million, two hundred sixty-five thousand, one hundred twenty".