Search a number
-
+
420042708 = 223213618573
BaseRepresentation
bin11001000010010…
…101011111010100
31002021101101021100
4121002111133110
51330012331313
6105402550100
713260206211
oct3102253724
91067341240
10420042708
111a6115338
12b8808330
136903b2a7
143db00b08
1526d22173
hex190957d4

420042708 has 36 divisors (see below), whose sum is σ = 1062678708. Its totient is φ = 139895040.

The previous prime is 420042703. The next prime is 420042737. The reversal of 420042708 is 807240024.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 318194244 = 10092^2 + 17838^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420042703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44710 + ... + 53282.

It is an arithmetic number, because the mean of its divisors is an integer number (29518853).

Almost surely, 2420042708 is an apocalyptic number.

It is an amenable number.

420042708 is an abundant number, since it is smaller than the sum of its proper divisors (642636000).

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

420042708 is a wasteful number, since it uses less digits than its factorization.

420042708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420042708 is about 20494.9434739401. The cubic root of 420042708 is about 748.9126215728.

The spelling of 420042708 in words is "four hundred twenty million, forty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 1361 2722 4083 5444 8166 8573 12249 16332 17146 24498 25719 34292 48996 51438 77157 102876 154314 308628 11667853 23335706 35003559 46671412 70007118 105010677 140014236 210021354 420042708