Search a number
-
+
421260320 = 25513202529
BaseRepresentation
bin11001000110111…
…110110000100000
31002100200020112002
4121012332300200
51330320312240
6105445023132
713303440125
oct3106766040
91070606462
10421260320
111a6877128
12b90b4aa8
1369376580
143dd3a74c
1526eb2d15
hex191bec20

421260320 has 48 divisors (see below), whose sum is σ = 1071788760. Its totient is φ = 155541504.

The previous prime is 421260319. The next prime is 421260347. The reversal of 421260320 is 23062124.

421260320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 286421776 + 134838544 = 16924^2 + 11612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 421260292 and 421260301.

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 7 ways as a sum of consecutive naturals, for example, 99185 + ... + 103344.

Almost surely, 2421260320 is an apocalyptic number.

421260320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421260320 is an abundant number, since it is smaller than the sum of its proper divisors (650528440).

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

421260320 is a wasteful number, since it uses less digits than its factorization.

421260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202557 (or 202549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 421260320 is about 20524.6271586112. The cubic root of 421260320 is about 749.6355681331.

The spelling of 421260320 in words is "four hundred twenty-one million, two hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 202529 405058 810116 1012645 1620232 2025290 2632877 3240464 4050580 5265754 6480928 8101160 10531508 13164385 16202320 21063016 26328770 32404640 42126032 52657540 84252064 105315080 210630160 421260320