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405860130 = 232513794391
BaseRepresentation
bin11000001100001…
…110111100100010
31001021200211102200
4120030032330202
51312400011010
6104134554030
713025516454
oct3014167442
91037624380
10405860130
111991087a5
12b3b08916
1366113a30
143bc8c2d4
152596ecc0
hex1830ef22

405860130 has 96 divisors (see below), whose sum is σ = 1151055360. Its totient is φ = 98616960.

The previous prime is 405860113. The next prime is 405860149. The reversal of 405860130 is 31068504.

405860130 is a `hidden beast` number, since 4 + 0 + 58 + 601 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405860094 and 405860103.

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 47 ways as a sum of consecutive naturals, for example, 90235 + ... + 94625.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2405860130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405860130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

405860130 is an abundant number, since it is smaller than the sum of its proper divisors (745195230).

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

405860130 is a wasteful number, since it uses less digits than its factorization.

405860130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405860130 is about 20145.9705648549. The cubic root of 405860130 is about 740.3870205865.

The spelling of 405860130 in words is "four hundred five million, eight hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 79 90 117 130 158 195 234 237 390 395 474 585 711 790 1027 1170 1185 1422 2054 2370 3081 3555 4391 5135 6162 7110 8782 9243 10270 13173 15405 18486 21955 26346 30810 39519 43910 46215 57083 65865 79038 92430 114166 131730 171249 197595 285415 342498 346889 395190 513747 570830 693778 856245 1027494 1040667 1712490 1734445 2081334 2568735 3122001 3468890 4509557 5137470 5203335 6244002 9019114 10406670 13528671 15610005 22547785 27057342 31220010 40586013 45095570 67643355 81172026 135286710 202930065 405860130