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405444130 = 25721363649
BaseRepresentation
bin11000001010101…
…001011000100010
31001020220200210021
4120022221120202
51312243203010
6104122024054
713022134600
oct3012513042
91036820707
10405444130
111989541a3
12b394802a
1365cc9590
143bbc0870
15258db8da
hex182a9622

405444130 has 48 divisors (see below), whose sum is σ = 914268600. Its totient is φ = 128314368.

The previous prime is 405444107. The next prime is 405444167. The reversal of 405444130 is 31444504.

It can be written as a sum of positive squares in 4 ways, for example, as 189971089 + 215473041 = 13783^2 + 14679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405444095 and 405444104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25455 + ... + 38194.

Almost surely, 2405444130 is an apocalyptic number.

405444130 is an abundant number, since it is smaller than the sum of its proper divisors (508824470).

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

405444130 is a wasteful number, since it uses less digits than its factorization.

405444130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63683 (or 63676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 405444130 is about 20135.6432725652. The cubic root of 405444130 is about 740.1339725783.

Adding to 405444130 its reverse (31444504), we get a palindrome (436888634).

It can be divided in two parts, 4054 and 44130, that added together give a palindrome (48184).

The spelling of 405444130 in words is "four hundred five million, four hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 63649 127298 318245 445543 636490 827437 891086 1654874 2227715 3118801 4137185 4455430 5792059 6237602 8274370 11584118 15594005 28960295 31188010 40544413 57920590 81088826 202722065 405444130