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420643530 = 2345631823
BaseRepresentation
bin11001000100101…
…000001011001010
31002022111220110000
4121010220023022
51330141043110
6105423503430
713265260656
oct3104501312
91068456400
10420643530
111a649578a
12b8a57b76
13691bb8c8
143dc19a66
1526de01c0
hex191282ca

420643530 has 80 divisors (see below), whose sum is σ = 1134232704. Its totient is φ = 111857760.

The previous prime is 420643519. The next prime is 420643537. The reversal of 420643530 is 35346024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420643494 and 420643503.

It is not an unprimeable number, because it can be changed into a prime (420643537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510699 + ... + 511521.

Almost surely, 2420643530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420643530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567116352).

420643530 is an abundant number, since it is smaller than the sum of its proper divisors (713589174).

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

420643530 is a wasteful number, since it uses less digits than its factorization.

420643530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 420643530 is about 20509.5960467290. The cubic root of 420643530 is about 749.2695287800.

Adding to 420643530 its reverse (35346024), we get a palindrome (455989554).

The spelling of 420643530 in words is "four hundred twenty million, six hundred forty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 631 810 823 1262 1646 1893 2469 3155 3786 4115 4938 5679 6310 7407 8230 9465 11358 12345 14814 17037 18930 22221 24690 28395 34074 37035 44442 51111 56790 66663 74070 85185 102222 111105 133326 170370 222210 255555 333315 511110 519313 666630 1038626 1557939 2596565 3115878 4673817 5193130 7789695 9347634 14021451 15579390 23369085 28042902 42064353 46738170 70107255 84128706 140214510 210321765 420643530