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420261303 = 371110118013
BaseRepresentation
bin11001000011001…
…010110110110111
31002021210111010110
4121003022312313
51330041330203
6105411354103
713262106420
oct3103126667
91067714113
10420261303
111a62545a0
12b88b2933
13690b6937
143db5a647
1526d66d03
hex190cadb7

420261303 has 32 divisors (see below), whose sum is σ = 705572352. Its totient is φ = 216144000.

The previous prime is 420261241. The next prime is 420261329. The reversal of 420261303 is 303162024.

It is a happy number.

It is not a de Polignac number, because 420261303 - 28 = 420261047 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420261303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420261383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14325 + ... + 32337.

It is an arithmetic number, because the mean of its divisors is an integer number (22049136).

Almost surely, 2420261303 is an apocalyptic number.

420261303 is a deficient number, since it is larger than the sum of its proper divisors (285311049).

420261303 is a wasteful number, since it uses less digits than its factorization.

420261303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18135.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 420261303 is about 20500.2756810732. The cubic root of 420261303 is about 749.0425132568.

The spelling of 420261303 in words is "four hundred twenty million, two hundred sixty-one thousand, three hundred three".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 18013 23331 54039 126091 198143 378273 594429 1387001 1819313 4161003 5457939 12735191 20012443 38205573 60037329 140087101 420261303