Search a number
-
+
58147920 = 2432580761
BaseRepresentation
bin1101110111010…
…0010001010000
311001102012221200
43131310101100
5104341213140
65434151200
71304151315
oct335642120
9131365850
1058147920
112a906436
1217582500
13c07bc6c
147a18d0c
155189030
hex3774450

58147920 has 60 divisors (see below), whose sum is σ = 195282516. Its totient is φ = 15505920.

The previous prime is 58147913. The next prime is 58147927. The reversal of 58147920 is 2974185.

58147920 is a `hidden beast` number, since 581 + 4 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58147913) and next prime (58147927).

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 40908816 = 4152^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58147927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39661 + ... + 41100.

Almost surely, 258147920 is an apocalyptic number.

It is an amenable number.

58147920 is an abundant number, since it is smaller than the sum of its proper divisors (137134596).

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

58147920 is a wasteful number, since it uses less digits than its factorization.

58147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80780 (or 80771 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 58147920 is about 7625.4783456515. The cubic root of 58147920 is about 387.4164537193.

The spelling of 58147920 in words is "fifty-eight million, one hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 80761 161522 242283 323044 403805 484566 646088 726849 807610 969132 1211415 1292176 1453698 1615220 1938264 2422830 2907396 3230440 3634245 3876528 4845660 5814792 6460880 7268490 9691320 11629584 14536980 19382640 29073960 58147920