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502070020 = 225373971709
BaseRepresentation
bin11101111011001…
…111101100000100
31021222201210120221
4131323033230010
52012012220040
6121453034124
715304344664
oct3573175404
91258653527
10502070020
11238450701
12120185944
138002b36a
144a9741a4
152e12674a
hex1decfb04

502070020 has 48 divisors (see below), whose sum is σ = 1086205680. Its totient is φ = 194793984.

The previous prime is 502069987. The next prime is 502070033. The reversal of 502070020 is 20070205.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2815684 + 499254336 = 1678^2 + 22344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 502069976 and 502070003.

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 15 ways as a sum of consecutive naturals, for example, 292926 + ... + 294634.

It is an arithmetic number, because the mean of its divisors is an integer number (22629285).

Almost surely, 2502070020 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 502070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543102840).

502070020 is an abundant number, since it is smaller than the sum of its proper divisors (584135660).

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

502070020 is a wasteful number, since it uses less digits than its factorization.

502070020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 502070020 is about 22406.9190206954. The cubic root of 502070020 is about 794.7943352072.

The spelling of 502070020 in words is "five hundred two million, seventy thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 397 740 794 1588 1709 1985 3418 3970 6836 7940 8545 14689 17090 29378 34180 58756 63233 73445 126466 146890 252932 293780 316165 632330 678473 1264660 1356946 2713892 3392365 6784730 13569460 25103501 50207002 100414004 125517505 251035010 502070020