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6420305000 = 23541775533
BaseRepresentation
bin1011111101010111…
…00001010001101000
3121120102221021202002
411332223201101220
5101122044230000
62541025230132
7315046456244
oct57653412150
917512837662
106420305000
1127a510519a
1212b2192348
137b4199555
1444c97b424
152789ac8d5
hex17eae1468

6420305000 has 80 divisors (see below), whose sum is σ = 15927854580. Its totient is φ = 2417024000.

The previous prime is 6420304993. The next prime is 6420305069. The reversal of 6420305000 is 5030246.

It can be written as a sum of positive squares in 10 ways, for example, as 16144324 + 6404160676 = 4018^2 + 80026^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47234 + ... + 122766.

Almost surely, 26420305000 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 6420305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963927290).

6420305000 is an abundant number, since it is smaller than the sum of its proper divisors (9507549580).

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

6420305000 is a wasteful number, since it uses less digits than its factorization.

6420305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75576 (or 75557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 6420305000 is about 80126.8057518831. The cubic root of 6420305000 is about 1858.5969493821.

Adding to 6420305000 its reverse (5030246), we get a palindrome (6425335246).

The spelling of 6420305000 in words is "six billion, four hundred twenty million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 75533 85000 151066 302132 377665 604264 755330 1284061 1510660 1888325 2568122 3021320 3776650 5136244 6420305 7553300 9441625 10272488 12840610 15106600 18883250 25681220 32101525 37766500 47208125 51362440 64203050 75533000 94416250 128406100 160507625 188832500 256812200 321015250 377665000 642030500 802538125 1284061000 1605076250 3210152500 6420305000