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1059803052 = 22371117195367
BaseRepresentation
bin111111001010110…
…100111110101100
32201212012120110220
4333022310332230
54132302144202
6253055131340
735156114550
oct7712647654
92655176426
101059803052
114a425a7a0
12256b13b50
1313b7485c9
14a0a77860
1563095abc
hex3f2b4fac

1059803052 has 384 divisors, whose sum is σ = 3553320960. Its totient is φ = 237219840.

The previous prime is 1059803029. The next prime is 1059803053. The reversal of 1059803052 is 2503089501.

It is a super-2 number, since 2×10598030522 = 2246365018057029408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1059803053) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 15817923 + ... + 15817989.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 21059803052 is an apocalyptic number.

1059803052 is a gapful number since it is divisible by the number (12) 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 1059803052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776660480).

1059803052 is an abundant number, since it is smaller than the sum of its proper divisors (2493517908).

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

1059803052 is a wasteful number, since it uses less digits than its factorization.

1059803052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1059803052 is about 32554.6164468267. The cubic root of 1059803052 is about 1019.5496704900.

The spelling of 1059803052 in words is "one billion, fifty-nine million, eight hundred three thousand, fifty-two".