Search a number
-
+
420037821 = 32764310369
BaseRepresentation
bin11001000010010…
…100010010111101
31002021101010120100
4121002110102331
51330012202241
6105402511313
713260156030
oct3102242275
91067333510
10420037821
111a61116a5
12b8805539
1369038cb8
143dadd017
1526d209b6
hex190944bd

420037821 has 24 divisors (see below), whose sum is σ = 694541120. Its totient is φ = 239625216.

The previous prime is 420037781. The next prime is 420037823. The reversal of 420037821 is 128730024.

It is not a de Polignac number, because 420037821 - 211 = 420035773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420037823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35325 + ... + 45693.

Almost surely, 2420037821 is an apocalyptic number.

It is an amenable number.

420037821 is a deficient number, since it is larger than the sum of its proper divisors (274503299).

420037821 is a wasteful number, since it uses less digits than its factorization.

420037821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420037821 is about 20494.8242490635. The cubic root of 420037821 is about 748.9097171458.

Adding to 420037821 its reverse (128730024), we get a palindrome (548767845).

The spelling of 420037821 in words is "four hundred twenty million, thirty-seven thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 21 63 643 1929 4501 5787 10369 13503 31107 40509 72583 93321 217749 653247 6667267 20001801 46670869 60005403 140012607 420037821