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852040020 = 2235135471997
BaseRepresentation
bin110010110010010…
…001100101010100
32012101021010011210
4302302101211110
53221110240040
6220314101420
730054135456
oct6262214524
92171233153
10852040020
113a7a55307
121b941a870
131076a39c0
14812342d6
154ec06480
hex32c91954

852040020 has 96 divisors (see below), whose sum is σ = 2575214208. Its totient is φ = 209244672.

The previous prime is 852039967. The next prime is 852040061. The reversal of 852040020 is 20040258.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425662 + ... + 427658.

It is an arithmetic number, because the mean of its divisors is an integer number (26825148).

Almost surely, 2852040020 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 852040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287607104).

852040020 is an abundant number, since it is smaller than the sum of its proper divisors (1723174188).

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

852040020 is a wasteful number, since it uses less digits than its factorization.

852040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 852040020 is about 29189.7245619071. The cubic root of 852040020 is about 948.0254537487.

Adding to 852040020 its reverse (20040258), we get a palindrome (872080278).

The spelling of 852040020 in words is "eight hundred fifty-two million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 547 780 1094 1641 1997 2188 2735 3282 3994 5470 5991 6564 7111 7988 8205 9985 10940 11982 14222 16410 19970 21333 23964 25961 28444 29955 32820 35555 39940 42666 51922 59910 71110 77883 85332 103844 106665 119820 129805 142220 155766 213330 259610 311532 389415 426660 519220 778830 1092359 1557660 2184718 3277077 4369436 5461795 6554154 10923590 13108308 14200667 16385385 21847180 28401334 32770770 42602001 56802668 65541540 71003335 85204002 142006670 170408004 213010005 284013340 426020010 852040020