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420414024 = 233104916699
BaseRepresentation
bin11001000011110…
…000001001001000
31002022002020121210
4121003300021020
51330111222044
6105414533120
713263313602
oct3103601110
91068066553
10420414024
111a6349308
12b89671a0
136913b2c4
143db9a172
1526d971b9
hex190f0248

420414024 has 32 divisors (see below), whose sum is σ = 1052100000. Its totient is φ = 139996032.

The previous prime is 420414019. The next prime is 420414061.

420414024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16827 + ... + 33525.

It is an arithmetic number, because the mean of its divisors is an integer number (32878125).

Almost surely, 2420414024 is an apocalyptic number.

It is an amenable number.

420414024 is an abundant number, since it is smaller than the sum of its proper divisors (631685976).

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

420414024 is a wasteful number, since it uses less digits than its factorization.

420414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17757 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420414024 is about 20504.0001950839. Note that the first 3 decimals coincide. The cubic root of 420414024 is about 749.1332351219.

The spelling of 420414024 in words is "four hundred twenty million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1049 2098 3147 4196 6294 8392 12588 16699 25176 33398 50097 66796 100194 133592 200388 400776 17517251 35034502 52551753 70069004 105103506 140138008 210207012 420414024