Search a number
-
+
405128967 = 3672015567
BaseRepresentation
bin11000001001011…
…100011100000111
31001020022200110120
4120021130130013
51312203111332
6104111153023
713016353005
oct3011343407
91036280416
10405128967
11198759431
12b3815773
1365c18ca9
143bb3ba75
152587832c
hex1825c707

405128967 has 8 divisors (see below), whose sum is σ = 548234496. Its totient is φ = 266054712.

The previous prime is 405128951. The next prime is 405128993. The reversal of 405128967 is 769821504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 405128967 - 24 = 405128951 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405128917) 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 7 ways as a sum of consecutive naturals, for example, 1007583 + ... + 1007984.

It is an arithmetic number, because the mean of its divisors is an integer number (68529312).

Almost surely, 2405128967 is an apocalyptic number.

405128967 is a deficient number, since it is larger than the sum of its proper divisors (143105529).

405128967 is a wasteful number, since it uses less digits than its factorization.

405128967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015637.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 405128967 is about 20127.8157533300. The cubic root of 405128967 is about 739.9421472912.

The spelling of 405128967 in words is "four hundred five million, one hundred twenty-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 67 201 2015567 6046701 135042989 405128967