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1059437401 = 1142692
BaseRepresentation
bin111111001001011…
…011101101011001
32201211111222220021
4333021123231121
54132203444101
6253043230441
735153032531
oct7711335531
92654458807
101059437401
114a4030000
12256978421
1313b64b049
14a09c04c1
15630225a1
hex3f25bb59

1059437401 has 15 divisors (see below), whose sum is σ = 1169722255. Its totient is φ = 959544520.

The previous prime is 1059437389. The next prime is 1059437411. The reversal of 1059437401 is 1047349501.

The square root of 1059437401 is 32549.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69705801 + 989731600 = 8349^2 + 31460^2 .

It is not a de Polignac number, because 1059437401 - 211 = 1059435353 is a prime.

It is a super-2 number, since 2×10594374012 = 2244815213275269602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1059437411) 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 14 ways as a sum of consecutive naturals, for example, 3938295 + ... + 3938563.

Almost surely, 21059437401 is an apocalyptic number.

1059437401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1059437401 is the 32549-th square number.

1059437401 is the 16275-th centered octagonal number.

It is an amenable number.

1059437401 is a deficient number, since it is larger than the sum of its proper divisors (110284854).

1059437401 is an frugal number, since it uses more digits than its factorization.

1059437401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 1059437401 is about 1019.4324027146.

The spelling of 1059437401 in words is "one billion, fifty-nine million, four hundred thirty-seven thousand, four hundred one".

Divisors: 1 11 121 269 1331 2959 14641 32549 72361 358039 795971 3938429 8755681 96312491 1059437401