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412243020 = 22345736353
BaseRepresentation
bin11000100100100…
…101010001001100
31001201201010010000
4120210211101030
51321013234040
6104523444300
713134002460
oct3044452114
91051633100
10412243020
111a1778312
12b6086690
136753a0a7
143ca704a0
15262d1130
hex1892544c

412243020 has 120 divisors (see below), whose sum is σ = 1478008224. Its totient is φ = 94224384.

The previous prime is 412243009. The next prime is 412243037. The reversal of 412243020 is 20342214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412242984 and 412243002.

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 39 ways as a sum of consecutive naturals, for example, 6837 + ... + 29516.

Almost surely, 2412243020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739004112).

412243020 is an abundant number, since it is smaller than the sum of its proper divisors (1065765204).

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

412243020 is a wasteful number, since it uses less digits than its factorization.

412243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36381 (or 36370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412243020 is about 20303.7686157028. The cubic root of 412243020 is about 744.2481612333.

Adding to 412243020 its reverse (20342214), we get a palindrome (432585234).

It can be divided in two parts, 41224 and 3020, that added together give a palindrome (44244).

The spelling of 412243020 in words is "four hundred twelve million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 36353 72706 109059 145412 181765 218118 254471 327177 363530 436236 508942 545295 654354 727060 763413 981531 1017884 1090590 1272355 1308708 1526826 1635885 1963062 2181180 2290239 2544710 2944593 3053652 3271770 3817065 3926124 4580478 4907655 5089420 5889186 6543540 6870717 7634130 9160956 9815310 11451195 11778372 13741434 14722965 15268260 19630620 20612151 22902390 27482868 29445930 34353585 41224302 45804780 58891860 68707170 82448604 103060755 137414340 206121510 412243020