Search a number
-
+
405108990 = 2325111331477
BaseRepresentation
bin11000001001010…
…111100011111110
31001020021200001200
4120021113203332
51312201441430
6104110520330
713016240526
oct3011274376
91036250050
10405108990
11198745420
12b38060a6
1365c0cb80
143bb34686
1525872460
hex182578fe

405108990 has 96 divisors (see below), whose sum is σ = 1237463136. Its totient is φ = 90650880.

The previous prime is 405108943. The next prime is 405109007. The reversal of 405108990 is 99801504.

It is a super-2 number, since 2×4051089902 = 328226587557640200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2869 + ... + 28608.

It is an arithmetic number, because the mean of its divisors is an integer number (12890241).

Almost surely, 2405108990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405108990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618731568).

405108990 is an abundant number, since it is smaller than the sum of its proper divisors (832354146).

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

405108990 is a wasteful number, since it uses less digits than its factorization.

405108990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31514 (or 31511 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 405108990 is about 20127.3194936633. The cubic root of 405108990 is about 739.9299848537.

The spelling of 405108990 in words is "four hundred five million, one hundred eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 12870 31477 62954 94431 157385 188862 283293 314770 346247 409201 472155 566586 692494 818402 944310 1038741 1227603 1416465 1731235 2046005 2077482 2455206 2832930 3116223 3462470 3682809 4092010 4501211 5193705 6138015 6232446 7365618 9002422 10387410 12276030 13503633 15581115 18414045 22506055 27007266 31162230 36828090 40510899 45012110 67518165 81021798 135036330 202554495 405108990