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420562530 = 2355199109
BaseRepresentation
bin11001000100010…
…100011001100010
31002022100210100000
4121010110121202
51330131000110
6105422040430
713264502553
oct3104243142
91068323300
10420562530
111a643a943
12b8a19116
1369190a8b
143dbd832a
1526dc61c0
hex19114662

420562530 has 96 divisors (see below), whose sum is σ = 1193774400. Its totient is φ = 106235712.

The previous prime is 420562529. The next prime is 420562559. The reversal of 420562530 is 35265024.

420562530 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 625 + 30 = 666.

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 = 420562494 and 420562503.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41616 + ... + 50724.

It is an arithmetic number, because the mean of its divisors is an integer number (12435150).

Almost surely, 2420562530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420562530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596887200).

420562530 is an abundant number, since it is smaller than the sum of its proper divisors (773211870).

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

420562530 is a wasteful number, since it uses less digits than its factorization.

420562530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420562530 is about 20507.6212662512. The cubic root of 420562530 is about 749.2214320556.

The spelling of 420562530 in words is "four hundred twenty million, five hundred sixty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9109 9234 15390 18218 23085 27327 45545 46170 54654 81981 91090 136635 163962 173071 245943 273270 346142 409905 491886 519213 737829 819810 865355 1038426 1229715 1475658 1557639 1730710 2213487 2459430 2596065 3115278 3689145 4426974 4672917 5192130 7378290 7788195 9345834 11067435 14018751 15576390 22134870 23364585 28037502 42056253 46729170 70093755 84112506 140187510 210281265 420562530