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59416340 = 22522912973
BaseRepresentation
bin1110001010100…
…1111100010100
311010210122220012
43202221330110
5110202310330
65521255352
71321013324
oct342517424
9133718805
1059416340
11305a2415
1217a94558
13c4043c9
147c69284
155339c95
hex38a9f14

59416340 has 24 divisors (see below), whose sum is σ = 125328840. Its totient is φ = 23660928.

The previous prime is 59416333. The next prime is 59416349. The reversal of 59416340 is 4361495.

59416340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2835856 + 56580484 = 1684^2 + 7522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 59416297 and 59416306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59416349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (5222035).

Almost surely, 259416340 is an apocalyptic number.

It is an amenable number.

59416340 is an abundant number, since it is smaller than the sum of its proper divisors (65912500).

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

59416340 is a wasteful number, since it uses less digits than its factorization.

59416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13209 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 59416340 is about 7708.1995303702. The cubic root of 59416340 is about 390.2132079879.

The spelling of 59416340 in words is "fifty-nine million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 12973 25946 51892 64865 129730 259460 2970817 5941634 11883268 14854085 29708170 59416340