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30006405 = 32511134663
BaseRepresentation
bin111001001110…
…1110010000101
32002110111001100
41302131302011
530140201110
62551050313
7513023142
oct162356205
962414040
1030006405
1115a35290
12a070999
1362a7b90
143db13c9
15297abc0
hex1c9dc85

30006405 has 48 divisors (see below), whose sum is σ = 61117056. Its totient is φ = 13426560.

The previous prime is 30006401. The next prime is 30006407. The reversal of 30006405 is 50460003.

It is a happy number.

It is not a de Polignac number, because 30006405 - 22 = 30006401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4104 + ... + 8766.

It is an arithmetic number, because the mean of its divisors is an integer number (1273272).

Almost surely, 230006405 is an apocalyptic number.

It is an amenable number.

30006405 is an abundant number, since it is smaller than the sum of its proper divisors (31110651).

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

30006405 is a wasteful number, since it uses less digits than its factorization.

30006405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30006405 is about 5477.8102376771. The cubic root of 30006405 is about 310.7453621599.

Adding to 30006405 its reverse (50460003), we get a palindrome (80466408).

The spelling of 30006405 in words is "thirty million, six thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 4663 6435 13989 23315 41967 51293 60619 69945 153879 181857 209835 256465 303095 461637 545571 666809 769395 909285 2000427 2308185 2727855 3334045 6001281 10002135 30006405