Search a number
-
+
420605040 = 24351752521
BaseRepresentation
bin11001000100011…
…110110001110000
31002022102221122110
4121010132301300
51330133330130
6105423005320
713265040522
oct3104366160
91068387573
10420605040
111a6469879
12b8a39840
13691a722b
143dc09a12
1526dd3ab0
hex1911ec70

420605040 has 40 divisors (see below), whose sum is σ = 1303876368. Its totient is φ = 112161280.

The previous prime is 420605027. The next prime is 420605069. The reversal of 420605040 is 40506024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 420604998 and 420605016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 876021 + ... + 876500.

Almost surely, 2420605040 is an apocalyptic number.

420605040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420605040 is an abundant number, since it is smaller than the sum of its proper divisors (883271328).

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

420605040 is a wasteful number, since it uses less digits than its factorization.

420605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752537 (or 1752531 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420605040 is about 20508.6576840124. The cubic root of 420605040 is about 749.2466746991.

The spelling of 420605040 in words is "four hundred twenty million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1752521 3505042 5257563 7010084 8762605 10515126 14020168 17525210 21030252 26287815 28040336 35050420 42060504 52575630 70100840 84121008 105151260 140201680 210302520 420605040