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405000080 = 24529174569
BaseRepresentation
bin11000001000111…
…100111110010000
31001020002010122222
4120020330332100
51312140000310
6104104320212
713015305152
oct3010747620
91036063588
10405000080
11198680611
12b3773068
1365ba2424
143bb06ad2
1525850055
hex1823cf90

405000080 has 40 divisors (see below), whose sum is σ = 974100600. Its totient is φ = 156412928.

The previous prime is 405000053. The next prime is 405000137. The reversal of 405000080 is 80000504.

It can be written as a sum of positive squares in 4 ways, for example, as 46730896 + 358269184 = 6836^2 + 18928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 84965 + ... + 89604.

It is an arithmetic number, because the mean of its divisors is an integer number (24352515).

Almost surely, 2405000080 is an apocalyptic number.

405000080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405000080 is an abundant number, since it is smaller than the sum of its proper divisors (569100520).

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

405000080 is a wasteful number, since it uses less digits than its factorization.

405000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174611 (or 174605 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405000080 is about 20124.6137851140. The cubic root of 405000080 is about 739.8636710144.

Adding to 405000080 its reverse (80000504), we get a palindrome (485000584).

It can be divided in two parts, 4050000 and 80, that multiplied together give a square (324000000 = 180002).

The spelling of 405000080 in words is "four hundred five million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 174569 349138 698276 872845 1396552 1745690 2793104 3491380 5062501 6982760 10125002 13965520 20250004 25312505 40500008 50625010 81000016 101250020 202500040 405000080