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1052031960 = 2332572232593
BaseRepresentation
bin111110101101001…
…011101111011000
32201022120202112200
4332231023233120
54123310010320
6252220410200
735033060400
oct7655135730
92638522480
101052031960
1149a932201
122543a6960
13139c57425
149da13800
156255d290
hex3eb4bbd8

1052031960 has 288 divisors, whose sum is σ = 4151852640. Its totient is φ = 229920768.

The previous prime is 1052031947. The next prime is 1052031971. The reversal of 1052031960 is 691302501.

It is a super-2 number, since 2×10520319602 = 2213542489722883200, 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 71 ways as a sum of consecutive naturals, for example, 404424 + ... + 407016.

It is an arithmetic number, because the mean of its divisors is an integer number (14416155).

Almost surely, 21052031960 is an apocalyptic number.

1052031960 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 1052031960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075926320).

1052031960 is an abundant number, since it is smaller than the sum of its proper divisors (3099820680).

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

1052031960 is a wasteful number, since it uses less digits than its factorization.

1052031960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1052031960 is about 32435.0421612182. The cubic root of 1052031960 is about 1017.0515777452.

The spelling of 1052031960 in words is "one billion, fifty-two million, thirty-one thousand, nine hundred sixty".