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1880320020 = 2235173749823
BaseRepresentation
bin111000000010011…
…0110100000010100
311212001011011011020
41300010312200110
512322330220040
6510325441140
764411312365
oct16004664024
94761134136
101880320020
11885434297
124458701b0
1323c732cc7
1413ba23b6c
15b0121cd0
hex70136814

1880320020 has 96 divisors (see below), whose sum is σ = 5725375488. Its totient is φ = 459159552.

The previous prime is 1880320007. The next prime is 1880320021. The reversal of 1880320020 is 200230881.

It is a super-2 number, since 2×18803200202 = 7071206755225600800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880320021) 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 31 ways as a sum of consecutive naturals, for example, 12829 + ... + 62651.

It is an arithmetic number, because the mean of its divisors is an integer number (59639328).

Almost surely, 21880320020 is an apocalyptic number.

1880320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1880320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862687744).

1880320020 is an abundant number, since it is smaller than the sum of its proper divisors (3845055468).

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

1880320020 is a wasteful number, since it uses less digits than its factorization.

1880320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49889 (or 49887 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1880320020 is about 43362.6569757897. The cubic root of 1880320020 is about 1234.2711845564.

The spelling of 1880320020 in words is "one billion, eight hundred eighty million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 37740 49823 99646 149469 199292 249115 298938 498230 597876 747345 846991 996460 1494690 1693982 1843451 2540973 2989380 3387964 3686902 4234955 5081946 5530353 7373804 8469910 9217255 10163892 11060706 12704865 16939820 18434510 22121412 25409730 27651765 31338667 36869020 50819460 55303530 62677334 94016001 110607060 125354668 156693335 188032002 313386670 376064004 470080005 626773340 940160010 1880320020