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420043000 = 23531379409
BaseRepresentation
bin11001000010010…
…101100011111000
31002021101101200011
4121002111203320
51330012334000
6105402551304
713260210106
oct3102254370
91067341604
10420043000
111a6115583
12b8808534
136903b470
143db00c76
1526d222ba
hex190958f8

420043000 has 128 divisors (see below), whose sum is σ = 1074528000. Its totient is φ = 152755200.

The previous prime is 420042977. The next prime is 420043003. The reversal of 420043000 is 340024.

It is a super-2 number, since 2×4200430002 = 352872243698000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420043003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026796 + ... + 1027204.

It is an arithmetic number, because the mean of its divisors is an integer number (8394750).

Almost surely, 2420043000 is an apocalyptic number.

420043000 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 420043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537264000).

420043000 is an abundant number, since it is smaller than the sum of its proper divisors (654485000).

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

420043000 is a wasteful number, since it uses less digits than its factorization.

420043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 420043000 is about 20494.9505976472. The cubic root of 420043000 is about 748.9127951126.

Adding to 420043000 its reverse (340024), we get a palindrome (420383024).

The spelling of 420043000 in words is "four hundred twenty million, forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 125 130 158 200 250 260 316 325 395 409 500 520 632 650 790 818 1000 1027 1300 1580 1625 1636 1975 2045 2054 2600 3160 3250 3272 3950 4090 4108 5135 5317 6500 7900 8180 8216 9875 10225 10270 10634 13000 15800 16360 19750 20450 20540 21268 25675 26585 32311 39500 40900 41080 42536 51125 51350 53170 64622 79000 81800 102250 102700 106340 128375 129244 132925 161555 204500 205400 212680 256750 258488 265850 323110 409000 420043 513500 531700 646220 664625 807775 840086 1027000 1063400 1292440 1329250 1615550 1680172 2100215 2658500 3231100 3360344 4038875 4200430 5317000 6462200 8077750 8400860 10501075 16155500 16801720 21002150 32311000 42004300 52505375 84008600 105010750 210021500 420043000