Search a number
-
+
59135104 = 277312129
BaseRepresentation
bin1110000110010…
…1010010000000
311010021101010001
43201211102000
5110114310404
65511245344
71315432360
oct341452200
9133241101
1059135104
1130420096
1217979854
13c3363b2
147bd49a0
1552d17a4
hex3865480

59135104 has 64 divisors (see below), whose sum is σ = 139046400. Its totient is φ = 24514560.

The previous prime is 59135099. The next prime is 59135113. The reversal of 59135104 is 40153195.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26712 + ... + 28840.

It is an arithmetic number, because the mean of its divisors is an integer number (2172600).

Almost surely, 259135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69523200).

59135104 is an abundant number, since it is smaller than the sum of its proper divisors (79911296).

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

59135104 is a wasteful number, since it uses less digits than its factorization.

59135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 59135104 is about 7689.9352402995. The cubic root of 59135104 is about 389.5965672558.

Adding to 59135104 its reverse (40153195), we get a palindrome (99288299).

The spelling of 59135104 in words is "fifty-nine million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 2129 3472 3968 4258 6944 8516 13888 14903 17032 27776 29806 34064 59612 65999 68128 119224 131998 136256 238448 263996 272512 461993 476896 527992 923986 953792 1055984 1847972 1907584 2111968 3695944 4223936 7391888 8447872 14783776 29567552 59135104