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420534432 = 25321460189
BaseRepresentation
bin11001000100001…
…101100010100000
31002022022100210100
4121010031202200
51330124100212
6105421302400
713264324623
oct3104154240
91068270710
10420534432
111a642081a
12b8a04a00
1369181056
143dbcbdba
1526dbcbdc
hex1910d8a0

420534432 has 36 divisors (see below), whose sum is σ = 1195895610. Its totient is φ = 140178048.

The previous prime is 420534397. The next prime is 420534463. The reversal of 420534432 is 234435024.

It can be written as a sum of positive squares in only one way, i.e., 340181136 + 80353296 = 18444^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 420534396 and 420534405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729807 + ... + 730382.

Almost surely, 2420534432 is an apocalyptic number.

It is an amenable number.

420534432 is an abundant number, since it is smaller than the sum of its proper divisors (775361178).

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

420534432 is a wasteful number, since it uses less digits than its factorization.

420534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460205 (or 1460194 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 420534432 is about 20506.9361924204. The cubic root of 420534432 is about 749.2047463936.

Adding to 420534432 its reverse (234435024), we get a palindrome (654969456).

It can be divided in two parts, 4 and 20534432, that added together give a triangular number (20534436 = T6408).

The spelling of 420534432 in words is "four hundred twenty million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1460189 2920378 4380567 5840756 8761134 11681512 13141701 17522268 23363024 26283402 35044536 46726048 52566804 70089072 105133608 140178144 210267216 420534432