Search a number
-
+
58765940 = 22517307563
BaseRepresentation
bin1110000000101…
…1001001110100
311002120121201022
43200023021310
5110021002230
65455320312
71312334162
oct340131164
9132517638
1058765940
11301987a2
1217820098
13c23735c
147b3a232
15525c1e5
hex380b274

58765940 has 48 divisors (see below), whose sum is σ = 131326272. Its totient is φ = 22012416.

The previous prime is 58765939. The next prime is 58765951. The reversal of 58765940 is 4956785.

It is a junction number, because it is equal to n+sod(n) for n = 58765891 and 58765900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104099 + ... + 104661.

It is an arithmetic number, because the mean of its divisors is an integer number (2735964).

Almost surely, 258765940 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 58765940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65663136).

58765940 is an abundant number, since it is smaller than the sum of its proper divisors (72560332).

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

58765940 is a wasteful number, since it uses less digits than its factorization.

58765940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 58765940 is about 7665.8945988058. The cubic root of 58765940 is about 388.7841600376.

The spelling of 58765940 in words is "fifty-eight million, seven hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 563 614 1126 1228 1535 2252 2815 3070 5219 5630 6140 9571 10438 11260 19142 20876 26095 38284 47855 52190 95710 104380 172841 191420 345682 691364 864205 1728410 2938297 3456820 5876594 11753188 14691485 29382970 58765940