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420031000 = 23531492819
BaseRepresentation
bin11001000010010…
…010101000011000
31002021100210012201
4121002102220120
51330011443000
6105402415544
713260130114
oct3102225030
91067323181
10420031000
111a6107564
12b88015b4
1369035b6c
143dada744
1526d1d96a
hex19092a18

420031000 has 64 divisors (see below), whose sum is σ = 989820000. Its totient is φ = 166825600.

The previous prime is 420030911. The next prime is 420031033. The reversal of 420031000 is 130024.

It is a super-2 number, since 2×4200310002 = 352852081922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147591 + ... + 150409.

Almost surely, 2420031000 is an apocalyptic number.

420031000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494910000).

420031000 is an abundant number, since it is smaller than the sum of its proper divisors (569789000).

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

420031000 is a wasteful number, since it uses less digits than its factorization.

420031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 420031000 is about 20494.6578405203. The cubic root of 420031000 is about 748.9056632720.

Adding to 420031000 its reverse (130024), we get a palindrome (420161024).

The spelling of 420031000 in words is "four hundred twenty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2819 2980 3725 5638 5960 7450 11276 14095 14900 18625 22552 28190 29800 37250 56380 70475 74500 112760 140950 149000 281900 352375 420031 563800 704750 840062 1409500 1680124 2100155 2819000 3360248 4200310 8400620 10500775 16801240 21001550 42003100 52503875 84006200 105007750 210015500 420031000