Search a number
-
+
420603540 = 223576116417
BaseRepresentation
bin11001000100011…
…110011010010100
31002022102212120220
4121010132122110
51330133303130
6105422554340
713265033250
oct3104363224
91068385526
10420603540
111a6468735
12b8a389b0
13691a6646
143dc09260
1526dd3410
hex1911e694

420603540 has 96 divisors (see below), whose sum is σ = 1368079104. Its totient is φ = 94556160.

The previous prime is 420603529. The next prime is 420603541. The reversal of 420603540 is 45306024.

It is a self number, because there is not a number n which added to its sum of digits gives 420603540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420603541) 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, 17412 + ... + 33828.

It is an arithmetic number, because the mean of its divisors is an integer number (14250824).

Almost surely, 2420603540 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 420603540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684039552).

420603540 is an abundant number, since it is smaller than the sum of its proper divisors (947475564).

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

420603540 is a wasteful number, since it uses less digits than its factorization.

420603540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420603540 is about 20508.6211140584. The cubic root of 420603540 is about 749.2457840208.

Adding to 420603540 its reverse (45306024), we get a palindrome (465909564).

The spelling of 420603540 in words is "four hundred twenty million, six hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 12810 16417 25620 32834 49251 65668 82085 98502 114919 164170 197004 229838 246255 328340 344757 459676 492510 574595 689514 985020 1001437 1149190 1379028 1723785 2002874 2298380 3004311 3447570 4005748 5007185 6008622 6895140 7010059 10014370 12017244 14020118 15021555 20028740 21030177 28040236 30043110 35050295 42060354 60086220 70100590 84120708 105150885 140201180 210301770 420603540