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405120023 = 7117277237
BaseRepresentation
bin11000001001011…
…010010000010111
31001020022020012022
4120021122100113
51312202320043
6104111043355
713016314640
oct3011322027
91036266168
10405120023
11198752740
12b381055b
1365c14bb9
143bb386c7
1525875868
hex1825a417

405120023 has 16 divisors (see below), whose sum is σ = 505849344. Its totient is φ = 315200160.

The previous prime is 405120017. The next prime is 405120031. The reversal of 405120023 is 320021504.

It is not a de Polignac number, because 405120023 - 26 = 405119959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405119983 and 405120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405120043) 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, 52361 + ... + 59597.

It is an arithmetic number, because the mean of its divisors is an integer number (31615584).

Almost surely, 2405120023 is an apocalyptic number.

405120023 is a deficient number, since it is larger than the sum of its proper divisors (100729321).

405120023 is a wasteful number, since it uses less digits than its factorization.

405120023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 405120023 is about 20127.5935720095. The cubic root of 405120023 is about 739.9367020365.

Adding to 405120023 its reverse (320021504), we get a palindrome (725141527).

The spelling of 405120023 in words is "four hundred five million, one hundred twenty thousand, twenty-three".

Divisors: 1 7 11 77 727 5089 7237 7997 50659 55979 79607 557249 5261299 36829093 57874289 405120023