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421632420 = 2235111933623
BaseRepresentation
bin11001001000011…
…001100110100100
31002101101010221120
4121020121212210
51330414214140
6105501013540
713306550016
oct3110314644
91071333846
10421632420
111a7000750
12b92542b0
1369476a51
143ddd61b6
15270381d0
hex192199a4

421632420 has 96 divisors (see below), whose sum is σ = 1355719680. Its totient is φ = 96831360.

The previous prime is 421632403. The next prime is 421632443. The reversal of 421632420 is 24236124.

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, 4272 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (14122080).

Almost surely, 2421632420 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 421632420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677859840).

421632420 is an abundant number, since it is smaller than the sum of its proper divisors (934087260).

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

421632420 is a wasteful number, since it uses less digits than its factorization.

421632420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33665 (or 33663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 421632420 is about 20533.6898778568. The cubic root of 421632420 is about 749.8562213276.

Adding to 421632420 its reverse (24236124), we get a palindrome (445868544).

The spelling of 421632420 in words is "four hundred twenty-one million, six hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 33623 67246 100869 134492 168115 201738 336230 369853 403476 504345 638837 672460 739706 1008690 1109559 1277674 1479412 1849265 1916511 2017380 2219118 2555348 3194185 3698530 3833022 4438236 5547795 6388370 7027207 7397060 7666044 9582555 11095590 12776740 14054414 19165110 21081621 22191180 28108828 35136035 38330220 42163242 70272070 84326484 105408105 140544140 210816210 421632420