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59006141 is a prime number
BaseRepresentation
bin1110000100010…
…1110010111101
311010000211012122
43201011302331
5110101144031
65504412325
71314354365
oct341056275
9133024178
1059006141
1130342207
12179170a5
13c2bc79c
147b9d9a5
1552a847b
hex3845cbd

59006141 has 2 divisors, whose sum is σ = 59006142. Its totient is φ = 59006140.

The previous prime is 59006117. The next prime is 59006147. The reversal of 59006141 is 14160095.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58828900 + 177241 = 7670^2 + 421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-59006141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 59006141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59006147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29503070 + 29503071.

It is an arithmetic number, because the mean of its divisors is an integer number (29503071).

Almost surely, 259006141 is an apocalyptic number.

It is an amenable number.

59006141 is a deficient number, since it is larger than the sum of its proper divisors (1).

59006141 is an equidigital number, since it uses as much as digits as its factorization.

59006141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 59006141 is about 7681.5454825185. The cubic root of 59006141 is about 389.3131478368.

The spelling of 59006141 in words is "fifty-nine million, six thousand, one hundred forty-one".