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58413540 = 22352959569
BaseRepresentation
bin1101111011010…
…1000111100100
311001220201022110
43132311013210
5104423213130
65444001020
71306335603
oct336650744
9131821273
1058413540
112aa77a59
1217690170
13c142b33
147a87a3a
1551dcab0
hex37b51e4

58413540 has 96 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 14758912.

The previous prime is 58413533. The next prime is 58413541. The reversal of 58413540 is 4531485.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58413498 and 58413507.

It is not an unprimeable number, because it can be changed into a prime (58413541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102376 + ... + 102944.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 258413540 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 58413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

58413540 is an abundant number, since it is smaller than the sum of its proper divisors (113954460).

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

58413540 is a wasteful number, since it uses less digits than its factorization.

58413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 58413540 is about 7642.8751134635. The cubic root of 58413540 is about 388.0054645491.

The spelling of 58413540 in words is "fifty-eight million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 435 569 580 590 708 870 885 1138 1180 1707 1711 1740 1770 2276 2845 3414 3422 3540 5133 5690 6828 6844 8535 8555 10266 11380 16501 17070 17110 20532 25665 33002 33571 34140 34220 49503 51330 66004 67142 82505 99006 100713 102660 134284 165010 167855 198012 201426 247515 330020 335710 402852 495030 503565 671420 973559 990060 1007130 1947118 2014260 2920677 3894236 4867795 5841354 9735590 11682708 14603385 19471180 29206770 58413540