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1058257340 = 22577558981
BaseRepresentation
bin111111000100111…
…011100110111100
32201202022001011022
4333010323212330
54131403213330
6253002043312
735140016240
oct7704734674
92652261138
101058257340
114a33a4448
122564a9538
1313b326b9a
14a0794420
1562d8cae5
hex3f13b9bc

1058257340 has 24 divisors (see below), whose sum is σ = 2539817952. Its totient is φ = 362831040.

The previous prime is 1058257283. The next prime is 1058257363. The reversal of 1058257340 is 437528501.

It is a happy number.

It is a super-2 number, since 2×10582573402 = 2239817195327751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1058257340.

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 7 ways as a sum of consecutive naturals, for example, 3779351 + ... + 3779630.

It is an arithmetic number, because the mean of its divisors is an integer number (105825748).

Almost surely, 21058257340 is an apocalyptic number.

1058257340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1058257340 is an abundant number, since it is smaller than the sum of its proper divisors (1481560612).

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

1058257340 is a wasteful number, since it uses less digits than its factorization.

1058257340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558997 (or 7558995 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 1058257340 is about 32530.8674953497. The cubic root of 1058257340 is about 1019.0537617021.

The spelling of 1058257340 in words is "one billion, fifty-eight million, two hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7558981 15117962 30235924 37794905 52912867 75589810 105825734 151179620 211651468 264564335 529128670 1058257340