Search a number
-
+
420015162 = 23731271607
BaseRepresentation
bin11001000010001…
…110110000111010
31002021022222111010
4121002032300322
51330010441122
6105402214350
713260033000
oct3102166072
91067288433
10420015162
111a60a6676
12b87b43b6
136902b8a8
143dad4a70
1526d18e0c
hex1908ec3a

420015162 has 64 divisors (see below), whose sum is σ = 987955200. Its totient is φ = 118985328.

The previous prime is 420015131. The next prime is 420015181. The reversal of 420015162 is 261510024.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 260563 + ... + 262169.

It is an arithmetic number, because the mean of its divisors is an integer number (15436800).

Almost surely, 2420015162 is an apocalyptic number.

420015162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420015162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493977600).

420015162 is an abundant number, since it is smaller than the sum of its proper divisors (567940038).

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

420015162 is a wasteful number, since it uses less digits than its factorization.

420015162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 420015162 is about 20494.2714435034. The cubic root of 420015162 is about 748.8962502232.

Adding to 420015162 its reverse (261510024), we get a palindrome (681525186).

It can be divided in two parts, 4200 and 15162, that multiplied together give a square (63680400 = 79802).

The spelling of 420015162 in words is "four hundred twenty million, fifteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 343 381 686 762 889 1029 1607 1778 2058 2667 3214 4821 5334 6223 9642 11249 12446 18669 22498 33747 37338 43561 67494 78743 87122 130683 157486 204089 236229 261366 408178 472458 551201 612267 1102402 1224534 1428623 1653603 2857246 3307206 4285869 8571738 10000361 20000722 30001083 60002166 70002527 140005054 210007581 420015162