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58107380 = 2256147629
BaseRepresentation
bin1101110110101…
…0010111110100
311001100011100012
43131222113310
5104333414010
65433235352
71303622162
oct335522764
9131304305
1058107380
112a888a31
1217562b58
13c066686
147a08232
15517c005
hex376a5f4

58107380 has 24 divisors (see below), whose sum is σ = 124028520. Its totient is φ = 22861440.

The previous prime is 58107359. The next prime is 58107383. The reversal of 58107380 is 8370185.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 57942544 = 406^2 + 7612^2 .

It is a super-2 number, since 2×581073802 = 6752935220928800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58107383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22595 + ... + 25034.

It is an arithmetic number, because the mean of its divisors is an integer number (5167855).

It is the magic constant of a 488 × 488 magic square.

Almost surely, 258107380 is an apocalyptic number.

It is an amenable number.

58107380 is an abundant number, since it is smaller than the sum of its proper divisors (65921140).

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

58107380 is a wasteful number, since it uses less digits than its factorization.

58107380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47699 (or 47697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 58107380 is about 7622.8196882781. The cubic root of 58107380 is about 387.3263988246.

The spelling of 58107380 in words is "fifty-eight million, one hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 47629 95258 190516 238145 476290 952580 2905369 5810738 11621476 14526845 29053690 58107380