Search a number
-
+
405018009 = 33117119207
BaseRepresentation
bin11000001001000…
…001010110011001
31001020010001021000
4120021001112121
51312141034014
6104104535213
713015411344
oct3011012631
91036101230
10405018009
11198693030
12b3781509
1365baa636
143bb0d45b
1525855509
hex18241599

405018009 has 32 divisors (see below), whose sum is σ = 663828480. Its totient is φ = 241995600.

The previous prime is 405018001. The next prime is 405018011. The reversal of 405018009 is 900810504.

It is not a de Polignac number, because 405018009 - 23 = 405018001 is a prime.

It is a super-2 number, since 2×4050180092 = 328079175228648162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405018001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11484 + ... + 30690.

It is an arithmetic number, because the mean of its divisors is an integer number (20744640).

Almost surely, 2405018009 is an apocalyptic number.

It is an amenable number.

405018009 is a deficient number, since it is larger than the sum of its proper divisors (258810471).

405018009 is a wasteful number, since it uses less digits than its factorization.

405018009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19298 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 405018009 is about 20125.0592297265. The cubic root of 405018009 is about 739.8745885596.

The spelling of 405018009 in words is "four hundred five million, eighteen thousand, nine".

Divisors: 1 3 9 11 27 33 71 99 213 297 639 781 1917 2343 7029 19207 21087 57621 172863 211277 518589 633831 1363697 1901493 4091091 5704479 12273273 15000667 36819819 45002001 135006003 405018009