Search a number
-
+
421104320 = 26571314461
BaseRepresentation
bin11001000110011…
…000101011000000
31002100101022112022
4121012120223000
51330300314240
6105441421012
713302220250
oct3106305300
91070338468
10421104320
111a677a9aa
12b903a768
1369320570
143dcd9960
1526e819b5
hex19198ac0

421104320 has 112 divisors (see below), whose sum is σ = 1234244928. Its totient is φ = 133263360.

The previous prime is 421104319. The next prime is 421104329. The reversal of 421104320 is 23401124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421104329) 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, 21890 + ... + 36350.

It is an arithmetic number, because the mean of its divisors is an integer number (11020044).

Almost surely, 2421104320 is an apocalyptic number.

421104320 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 421104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617122464).

421104320 is an abundant number, since it is smaller than the sum of its proper divisors (813140608).

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

421104320 is a wasteful number, since it uses less digits than its factorization.

421104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14498 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 421104320 is about 20520.8264940767. The cubic root of 421104320 is about 749.5430223592.

Adding to 421104320 its reverse (23401124), we get a palindrome (444505444).

The spelling of 421104320 in words is "four hundred twenty-one million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14461 14560 28922 29120 57844 72305 101227 115688 144610 187993 202454 231376 289220 375986 404908 462752 506135 578440 751972 809816 925504 939965 1012270 1156880 1315951 1503944 1619632 1879930 2024540 2313760 2631902 3007888 3239264 3759860 4049080 4627520 5263804 6015776 6478528 6579755 7519720 8098160 10527608 12031552 13159510 15039440 16196320 21055216 26319020 30078880 32392640 42110432 52638040 60157760 84220864 105276080 210552160 421104320