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405115540 = 22589227593
BaseRepresentation
bin11000001001011…
…001001010010100
31001020022000001021
4120021121022110
51312202144130
6104111010524
713016265604
oct3011311224
91036260037
10405115540
1119874a335
12b3809a44
1365c12b4b
143bb36c04
152587437a
hex18259294

405115540 has 24 divisors (see below), whose sum is σ = 860305320. Its totient is φ = 160224768.

The previous prime is 405115531. The next prime is 405115541. The reversal of 405115540 is 45511504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104162436 + 300953104 = 10206^2 + 17348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405115541) 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 7 ways as a sum of consecutive naturals, for example, 112017 + ... + 115576.

It is an arithmetic number, because the mean of its divisors is an integer number (35846055).

Almost surely, 2405115540 is an apocalyptic number.

It is an amenable number.

405115540 is an abundant number, since it is smaller than the sum of its proper divisors (455189780).

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

405115540 is a wasteful number, since it uses less digits than its factorization.

405115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227691 (or 227689 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 405115540 is about 20127.4822071714. The cubic root of 405115540 is about 739.9339726820.

It can be divided in two parts, 4051 and 15540, that added together give a palindrome (19591).

The spelling of 405115540 in words is "four hundred five million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 227593 455186 910372 1137965 2275930 4551860 20255777 40511554 81023108 101278885 202557770 405115540