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421110320 = 245371131259
BaseRepresentation
bin11001000110011…
…010001000110000
31002100101121202112
4121012122020300
51330301012240
6105441504452
713302243611
oct3106321060
91070347675
10421110320
111a6784464
12b9042128
1369323207
143dcdbc08
1526e83665
hex1919a230

421110320 has 80 divisors (see below), whose sum is σ = 1015247520. Its totient is φ = 162312192.

The previous prime is 421110307. The next prime is 421110329. The reversal of 421110320 is 23011124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4211103202 = 354667803221004800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421110295 and 421110304.

It is not an unprimeable number, because it can be changed into a prime (421110329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 333851 + ... + 335109.

It is an arithmetic number, because the mean of its divisors is an integer number (12690594).

Almost surely, 2421110320 is an apocalyptic number.

421110320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507623760).

421110320 is an abundant number, since it is smaller than the sum of its proper divisors (594137200).

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

421110320 is a wasteful number, since it uses less digits than its factorization.

421110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 421110320 is about 20520.9726864981. The cubic root of 421110320 is about 749.5465822346.

Adding to 421110320 its reverse (23011124), we get a palindrome (444121444).

The spelling of 421110320 in words is "four hundred twenty-one million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 113 148 185 226 296 370 452 565 592 740 904 1130 1259 1480 1808 2260 2518 2960 4181 4520 5036 6295 8362 9040 10072 12590 16724 20144 20905 25180 33448 41810 46583 50360 66896 83620 93166 100720 142267 167240 186332 232915 284534 334480 372664 465830 569068 711335 745328 931660 1138136 1422670 1863320 2276272 2845340 3726640 5263879 5690680 10527758 11381360 21055516 26319395 42111032 52638790 84222064 105277580 210555160 421110320