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2030516740 = 225731676983
BaseRepresentation
bin111100100000111…
…0011101000000100
312020111202221022201
41321001303220010
513124303013430
6533253004244
7101214051610
oct17101635004
95214687281
102030516740
119521a030a
12488023684
132648a05c5
14153960340
15bd3de8ca
hex79073a04

2030516740 has 96 divisors (see below), whose sum is σ = 5106253824. Its totient is φ = 663569280.

The previous prime is 2030516729. The next prime is 2030516753. The reversal of 2030516740 is 476150302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2030516699 and 2030516708.

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, 287289 + ... + 294271.

It is an arithmetic number, because the mean of its divisors is an integer number (53190144).

Almost surely, 22030516740 is an apocalyptic number.

2030516740 is a gapful number since it is divisible by the number (20) 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 2030516740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553126912).

2030516740 is an abundant number, since it is smaller than the sum of its proper divisors (3075737084).

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

2030516740 is a wasteful number, since it uses less digits than its factorization.

2030516740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2030516740 is about 45061.2554197062. The cubic root of 2030516740 is about 1266.2968447903.

The spelling of 2030516740 in words is "two billion, thirty million, five hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 67 70 124 134 140 155 217 268 310 335 434 469 620 670 868 938 1085 1340 1876 2077 2170 2345 4154 4340 4690 6983 8308 9380 10385 13966 14539 20770 27932 29078 34915 41540 48881 58156 69830 72695 97762 139660 145390 195524 216473 244405 290780 432946 467861 488810 865892 935722 977620 1082365 1515311 1871444 2164730 2339305 3030622 3275027 4329460 4678610 6061244 6550054 7576555 9357220 13100108 14503691 15153110 16375135 29007382 30306220 32750270 58014764 65500540 72518455 101525837 145036910 203051674 290073820 406103348 507629185 1015258370 2030516740