Search a number
-
+
405103332 = 2231915711317
BaseRepresentation
bin11000001001010…
…110001011100100
31001020021101022010
4120021112023210
51312201301312
6104110434220
713016215164
oct3011261344
91036241263
10405103332
11198741147
12b3802970
1365c0a41a
143bb325a4
152587093c
hex182562e4

405103332 has 48 divisors (see below), whose sum is σ = 1001416640. Its totient is φ = 127101312.

The previous prime is 405103273. The next prime is 405103339. The reversal of 405103332 is 233301504.

It is a junction number, because it is equal to n+sod(n) for n = 405103299 and 405103308.

It is not an unprimeable number, because it can be changed into a prime (405103339) 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, 30138 + ... + 41454.

Almost surely, 2405103332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500708320).

405103332 is an abundant number, since it is smaller than the sum of its proper divisors (596313308).

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

405103332 is a wasteful number, since it uses less digits than its factorization.

405103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11500 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 405103332 is about 20127.1789379436. The cubic root of 405103332 is about 739.9265400660.

Adding to 405103332 its reverse (233301504), we get a palindrome (638404836).

The spelling of 405103332 in words is "four hundred five million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 157 228 314 471 628 942 1884 2983 5966 8949 11317 11932 17898 22634 33951 35796 45268 67902 135804 215023 430046 645069 860092 1290138 1776769 2580276 3553538 5330307 7107076 10660614 21321228 33758611 67517222 101275833 135034444 202551666 405103332