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420434140 = 225717241733
BaseRepresentation
bin11001000011110…
…101000011011100
31002022010021012211
4121003311003130
51330112343030
6105415210204
713263426340
oct3103650334
91068107184
10420434140
111a6362435
12b8976964
13691474c9
143dba3620
1526d9d12a
hex190f50dc

420434140 has 96 divisors (see below), whose sum is σ = 1074294144. Its totient is φ = 134922240.

The previous prime is 420434111. The next prime is 420434173. The reversal of 420434140 is 41434024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573214 + ... + 573946.

It is an arithmetic number, because the mean of its divisors is an integer number (11190564).

Almost surely, 2420434140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537147072).

420434140 is an abundant number, since it is smaller than the sum of its proper divisors (653860004).

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

420434140 is a wasteful number, since it uses less digits than its factorization.

420434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 420434140 is about 20504.4907276431. The cubic root of 420434140 is about 749.1451831247.

Adding to 420434140 its reverse (41434024), we get a palindrome (461868164).

The spelling of 420434140 in words is "four hundred twenty million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 241 340 476 482 595 733 964 1190 1205 1466 1687 2380 2410 2932 3374 3665 4097 4820 5131 6748 7330 8194 8435 10262 12461 14660 16388 16870 20485 20524 24922 25655 28679 33740 40970 49844 51310 57358 62305 81940 87227 102620 114716 124610 143395 174454 176653 249220 286790 348908 353306 436135 573580 706612 872270 883265 1236571 1744540 1766530 2473142 3003101 3533060 4946284 6006202 6182855 12012404 12365710 15015505 21021707 24731420 30031010 42043414 60062020 84086828 105108535 210217070 420434140