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420136496 = 24133475821
BaseRepresentation
bin11001000010101…
…100011000110000
31002021120010220222
4121002230120300
51330023331441
6105404552212
713261046513
oct3102543060
91067503828
10420136496
111a617984a
12b8852668
1369071ba0
143db26d7a
1526d3ed4b
hex190ac630

420136496 has 40 divisors (see below), whose sum is σ = 879308304. Its totient is φ = 193317120.

The previous prime is 420136477. The next prime is 420136523. The reversal of 420136496 is 694631024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69266 + ... + 75086.

Almost surely, 2420136496 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 420136496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439654152).

420136496 is an abundant number, since it is smaller than the sum of its proper divisors (459171808).

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

420136496 is a wasteful number, since it uses less digits than its factorization.

420136496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 420136496 is about 20497.2314228044. The cubic root of 420136496 is about 748.9683570084.

The spelling of 420136496 in words is "four hundred twenty million, one hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 347 694 1388 2776 4511 5552 5821 9022 11642 18044 23284 36088 46568 72176 75673 93136 151346 302692 605384 1210768 2019887 4039774 8079548 16159096 26258531 32318192 52517062 105034124 210068248 420136496