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405315030 = 23519799001
BaseRepresentation
bin11000001010001…
…001110111010110
31001020200010200210
4120022021313112
51312230040110
6104115150250
713021056321
oct3012116726
91036603623
10405315030
111988761aa
12b38a5386
1365c828a3
143bb897b8
15258b3520
hex18289dd6

405315030 has 64 divisors (see below), whose sum is σ = 1037030400. Its totient is φ = 101088000.

The previous prime is 405315019. The next prime is 405315061. The reversal of 405315030 is 30513504.

It is a junction number, because it is equal to n+sod(n) for n = 405314988 and 405315006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40530 + ... + 49530.

It is an arithmetic number, because the mean of its divisors is an integer number (16203600).

Almost surely, 2405315030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518515200).

405315030 is an abundant number, since it is smaller than the sum of its proper divisors (631715370).

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

405315030 is a wasteful number, since it uses less digits than its factorization.

405315030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 405315030 is about 20132.4372593087. The cubic root of 405315030 is about 740.0554073439.

Adding to 405315030 its reverse (30513504), we get a palindrome (435828534).

The spelling of 405315030 in words is "four hundred five million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 95 114 158 190 237 285 395 474 570 790 1185 1501 2370 3002 4503 7505 9001 9006 15010 18002 22515 27003 45005 45030 54006 90010 135015 171019 270030 342038 513057 711079 855095 1026114 1422158 1710190 2133237 2565285 3555395 4266474 5130570 7110790 10666185 13510501 21332370 27021002 40531503 67552505 81063006 135105010 202657515 405315030