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58012180 = 2252923449
BaseRepresentation
bin1101110101001…
…1001000010100
311001011022202021
43131103020110
5104322342210
65431222524
71303044502
oct335231024
9131138667
1058012180
112a823456
1217517a44
13c032245
1479c1672
15515dbda
hex3753214

58012180 has 36 divisors (see below), whose sum is σ = 126207900. Its totient is φ = 22398208.

The previous prime is 58012153. The next prime is 58012181. The reversal of 58012180 is 8121085.

It can be written as a sum of positive squares in 6 ways, for example, as 8928144 + 49084036 = 2988^2 + 7006^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58012181) 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, 15096 + ... + 18544.

It is an arithmetic number, because the mean of its divisors is an integer number (3505775).

Almost surely, 258012180 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 58012180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103950).

58012180 is an abundant number, since it is smaller than the sum of its proper divisors (68195720).

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

58012180 is a wasteful number, since it uses less digits than its factorization.

58012180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 58012180 is about 7616.5727200625. The cubic root of 58012180 is about 387.1147583028.

The spelling of 58012180 in words is "fifty-eight million, twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 3449 4205 6898 8410 13796 16820 17245 34490 68980 100021 200042 400084 500105 1000210 2000420 2900609 5801218 11602436 14503045 29006090 58012180