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405001780 = 22520250089
BaseRepresentation
bin11000001000111…
…101011000110100
31001020002012222221
4120020331120310
51312140024110
6104104332124
713015313131
oct3010753064
91036065887
10405001780
11198681917
12b3774044
1365ba3131
143bb07588
15258507da
hex1823d634

405001780 has 12 divisors (see below), whose sum is σ = 850503780. Its totient is φ = 162000704.

The previous prime is 405001759. The next prime is 405001789. The reversal of 405001780 is 87100504.

It can be written as a sum of positive squares in 2 ways, for example, as 168272784 + 236728996 = 12972^2 + 15386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405001789) 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 3 ways as a sum of consecutive naturals, for example, 10125025 + ... + 10125064.

It is an arithmetic number, because the mean of its divisors is an integer number (70875315).

Almost surely, 2405001780 is an apocalyptic number.

It is an amenable number.

405001780 is an abundant number, since it is smaller than the sum of its proper divisors (445502000).

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

405001780 is a wasteful number, since it uses less digits than its factorization.

405001780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20250098 (or 20250096 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 405001780 is about 20124.6560219051. The cubic root of 405001780 is about 739.8647062130.

The spelling of 405001780 in words is "four hundred five million, one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 20250089 40500178 81000356 101250445 202500890 405001780