Search a number
-
+
405371007 = 3323962819
BaseRepresentation
bin11000001010010…
…111100001111111
31001020202222111000
4120022113201333
51312233333012
6104120301343
713021411446
oct3012274177
91036688430
10405371007
11198904268
12b3911853
1365ca2202
143bba1d5d
15258c4ddc
hex1829787f

405371007 has 16 divisors (see below), whose sum is σ = 603072000. Its totient is φ = 269112312.

The previous prime is 405371003. The next prime is 405371027. The reversal of 405371007 is 700173504.

It is not a de Polignac number, because 405371007 - 22 = 405371003 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405371003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24957 + ... + 37862.

It is an arithmetic number, because the mean of its divisors is an integer number (37692000).

Almost surely, 2405371007 is an apocalyptic number.

405371007 is a deficient number, since it is larger than the sum of its proper divisors (197700993).

405371007 is a wasteful number, since it uses less digits than its factorization.

405371007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63067 (or 63061 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 405371007 is about 20133.8274304713. The cubic root of 405371007 is about 740.0894748153.

The spelling of 405371007 in words is "four hundred five million, three hundred seventy-one thousand, seven".

Divisors: 1 3 9 27 239 717 2151 6453 62819 188457 565371 1696113 15013741 45041223 135123669 405371007