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420670700 = 225221119937
BaseRepresentation
bin11001000100101…
…110110011101100
31002022120021201022
4121010232303230
51330142430300
6105424233312
713265433122
oct3104566354
91068507638
10420670700
111a650413a
12b8a6b838
13691cb098
143dc25912
1526de8285
hex1912ecec

420670700 has 36 divisors (see below), whose sum is σ = 917227752. Its totient is φ = 167462400.

The previous prime is 420670687. The next prime is 420670703. The reversal of 420670700 is 7076024.

It is a super-3 number, since 3×4206707003 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420670700.

It is not an unprimeable number, because it can be changed into a prime (420670703) 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, 11132 + ... + 31068.

Almost surely, 2420670700 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 420670700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458613876).

420670700 is an abundant number, since it is smaller than the sum of its proper divisors (496557052).

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

420670700 is a wasteful number, since it uses less digits than its factorization.

420670700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20155 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 420670700 is about 20510.2584089036. The cubic root of 420670700 is about 749.2856605823.

The spelling of 420670700 in words is "four hundred twenty million, six hundred seventy thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 19937 21100 39874 79748 99685 199370 398740 498425 996850 1993700 4206707 8413414 16826828 21033535 42067070 84134140 105167675 210335350 420670700