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59116007 = 2910120183
BaseRepresentation
bin1110000110000…
…0100111100111
311010020101220202
43201200213213
5110113203012
65511021115
71315322606
oct341404747
9133211822
1059116007
1130407805
121796a79b
13c32a7b2
147bcba3d
1552cacc2
hex38609e7

59116007 has 8 divisors (see below), whose sum is σ = 61763040. Its totient is φ = 56509600.

The previous prime is 59115929. The next prime is 59116009. The reversal of 59116007 is 70061195.

It is a happy number.

59116007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 59116007 - 210 = 59114983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59116009) 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, 7163 + ... + 13020.

It is an arithmetic number, because the mean of its divisors is an integer number (7720380).

Almost surely, 259116007 is an apocalyptic number.

59116007 is a deficient number, since it is larger than the sum of its proper divisors (2647033).

59116007 is a wasteful number, since it uses less digits than its factorization.

59116007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20313.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 59116007 is about 7688.6934520762. The cubic root of 59116007 is about 389.5546241674.

The spelling of 59116007 in words is "fifty-nine million, one hundred sixteen thousand, seven".

Divisors: 1 29 101 2929 20183 585307 2038483 59116007