Search a number
-
+
420422002 = 2711213171123
BaseRepresentation
bin11001000011110…
…010000101110010
31002022002122120021
4121003302011302
51330112001002
6105415034054
713263346060
oct3103620562
91068078507
10420422002
111a6354300
12b896b92a
1369141b20
143db9d030
1526d99737
hex190f2172

420422002 has 96 divisors (see below), whose sum is σ = 904127616. Its totient is φ = 142179840.

The previous prime is 420421997. The next prime is 420422033. The reversal of 420422002 is 200224024.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 373813 + ... + 374935.

It is an arithmetic number, because the mean of its divisors is an integer number (9417996).

Almost surely, 2420422002 is an apocalyptic number.

420422002 is an abundant number, since it is smaller than the sum of its proper divisors (483705614).

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

420422002 is a wasteful number, since it uses less digits than its factorization.

420422002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420422002 is about 20504.1947415645. The cubic root of 420422002 is about 749.1379737420.

Adding to 420422002 its reverse (200224024), we get a palindrome (620646026).

It can be divided in two parts, 42042 and 2002, that added together give a palindrome (44044).

The spelling of 420422002 in words is "four hundred twenty million, four hundred twenty-two thousand, two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 121 143 154 182 187 221 238 242 286 374 442 847 1001 1123 1309 1547 1573 1694 2002 2057 2246 2431 2618 3094 3146 4114 4862 7861 11011 12353 14399 14599 15722 17017 19091 22022 24706 26741 28798 29198 34034 38182 53482 86471 102193 133637 135883 160589 172942 187187 204386 210001 248183 267274 271766 321178 374374 420002 496366 951181 1124123 1470007 1737281 1766479 1902362 2248246 2310011 2730013 2940014 3474562 3532958 4620022 5460026 12365353 16170077 19110091 24730706 30030143 32340154 38220182 60060286 210211001 420422002