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420211330 = 257113671487
BaseRepresentation
bin11001000010111…
…110101010000010
31002021200221120121
4121002332222002
51330033230310
6105410330454
713261510630
oct3102765202
91067627517
10420211330
111a621aaa0
12b8889a2a
1369099c76
143db46350
1526d570da
hex190bea82

420211330 has 64 divisors (see below), whose sum is σ = 946225152. Its totient is φ = 130530240.

The previous prime is 420211327. The next prime is 420211333. The reversal of 420211330 is 33112024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420211327) and next prime (420211333).

It is not an unprimeable number, because it can be changed into a prime (420211333) 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 31 ways as a sum of consecutive naturals, for example, 281847 + ... + 283333.

It is an arithmetic number, because the mean of its divisors is an integer number (14784768).

Almost surely, 2420211330 is an apocalyptic number.

420211330 is an abundant number, since it is smaller than the sum of its proper divisors (526013822).

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

420211330 is a wasteful number, since it uses less digits than its factorization.

420211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 420211330 is about 20499.0568075704. The cubic root of 420211330 is about 749.0128226929.

Adding to 420211330 its reverse (33112024), we get a palindrome (453323354).

The spelling of 420211330 in words is "four hundred twenty million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 367 385 734 770 1487 1835 2569 2974 3670 4037 5138 7435 8074 10409 12845 14870 16357 20185 20818 25690 28259 32714 40370 52045 56518 81785 104090 114499 141295 163570 228998 282590 545729 572495 1091458 1144990 2728645 3820103 5457290 6003019 7640206 12006038 19100515 30015095 38201030 42021133 60030190 84042266 210105665 420211330