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420410140 = 225431792731
BaseRepresentation
bin11001000011101…
…111001100011100
31002022002001021221
4121003233030130
51330111111030
6105414503124
713263266353
oct3103571434
91068061257
10420410140
111a63463a7
12b8964aa4
13691395c7
143db9899a
1526d95e7a
hex190ef31c

420410140 has 48 divisors (see below), whose sum is σ = 908772480. Its totient is φ = 163275840.

The previous prime is 420410117. The next prime is 420410143. The reversal of 420410140 is 41014024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420410143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152575 + ... + 155305.

It is an arithmetic number, because the mean of its divisors is an integer number (18932760).

Almost surely, 2420410140 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 420410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454386240).

420410140 is an abundant number, since it is smaller than the sum of its proper divisors (488362340).

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

420410140 is a wasteful number, since it uses less digits than its factorization.

420410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420410140 is about 20503.9054816393. The cubic root of 420410140 is about 749.1309281560.

Adding to 420410140 its reverse (41014024), we get a palindrome (461424164).

The spelling of 420410140 in words is "four hundred twenty million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 179 215 358 430 716 860 895 1790 2731 3580 5462 7697 10924 13655 15394 27310 30788 38485 54620 76970 117433 153940 234866 469732 488849 587165 977698 1174330 1955396 2348660 2444245 4888490 9776980 21020507 42041014 84082028 105102535 210205070 420410140