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405307780 = 225891092089
BaseRepresentation
bin11000001010001…
…000000110000100
31001020122202202021
4120022020012010
51312224322110
6104115052524
713021026223
oct3012100604
91036582667
10405307780
11198870809
12b38a1144
1365c7c4b7
143bb86cba
15258b12da
hex18288184

405307780 has 48 divisors (see below), whose sum is σ = 869022000. Its totient is φ = 158754816.

The previous prime is 405307739. The next prime is 405307811. The reversal of 405307780 is 87703504.

It can be written as a sum of positive squares in 8 ways, for example, as 2663424 + 402644356 = 1632^2 + 20066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192976 + ... + 195064.

It is an arithmetic number, because the mean of its divisors is an integer number (18104625).

Almost surely, 2405307780 is an apocalyptic number.

It is an amenable number.

405307780 is an abundant number, since it is smaller than the sum of its proper divisors (463714220).

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

405307780 is a wasteful number, since it uses less digits than its factorization.

405307780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 405307780 is about 20132.2572008208. The cubic root of 405307780 is about 740.0509947814.

The spelling of 405307780 in words is "four hundred five million, three hundred seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 89 109 178 218 356 436 445 545 890 1090 1780 2089 2180 4178 8356 9701 10445 19402 20890 38804 41780 48505 97010 185921 194020 227701 371842 455402 743684 910804 929605 1138505 1859210 2277010 3718420 4554020 20265389 40530778 81061556 101326945 202653890 405307780