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420863800 = 23527521577
BaseRepresentation
bin11001000101011…
…101111100111000
31002022221002121011
4121011131330320
51330220120200
6105432323304
713300166110
oct3105357470
91068832534
10420863800
111a6626225
12b8b43534
1369267c46
143dc76040
1526e355ba
hex1915df38

420863800 has 96 divisors (see below), whose sum is σ = 1122383520. Its totient is φ = 143769600.

The previous prime is 420863797. The next prime is 420863801. The reversal of 420863800 is 8368024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420863801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729112 + ... + 729688.

It is an arithmetic number, because the mean of its divisors is an integer number (11691495).

Almost surely, 2420863800 is an apocalyptic number.

420863800 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 420863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561191760).

420863800 is an abundant number, since it is smaller than the sum of its proper divisors (701519720).

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

420863800 is a wasteful number, since it uses less digits than its factorization.

420863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 420863800 is about 20514.9652692857. The cubic root of 420863800 is about 749.4002909636.

The spelling of 420863800 in words is "four hundred twenty million, eight hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 521 577 700 1042 1154 1400 2084 2308 2605 2885 3647 4039 4168 4616 5210 5770 7294 8078 10420 11540 13025 14425 14588 16156 18235 20195 20840 23080 26050 28850 29176 32312 36470 40390 52100 57700 72940 80780 91175 100975 104200 115400 145880 161560 182350 201950 300617 364700 403900 601234 729400 807800 1202468 1503085 2104319 2404936 3006170 4208638 6012340 7515425 8417276 10521595 12024680 15030850 16834552 21043190 30061700 42086380 52607975 60123400 84172760 105215950 210431900 420863800