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2030013040 = 2451112291877
BaseRepresentation
bin111100011111111…
…1000101001110000
312020110211100101011
41320333320221300
513124140404130
6533234120304
7101206553236
oct17077705160
95213740334
102030013040
11951986930
12487a20094
13264755263
1415386c956
15bd34052a
hex78ff8a70

2030013040 has 80 divisors (see below), whose sum is σ = 5155786080. Its totient is φ = 737192960.

The previous prime is 2030013031. The next prime is 2030013071. The reversal of 2030013040 is 403100302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2030013040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080582 + ... + 1082458.

It is an arithmetic number, because the mean of its divisors is an integer number (64447326).

Almost surely, 22030013040 is an apocalyptic number.

2030013040 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 2030013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577893040).

2030013040 is an abundant number, since it is smaller than the sum of its proper divisors (3125773040).

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

2030013040 is a wasteful number, since it uses less digits than its factorization.

2030013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2030013040 is about 45055.6660143871. Note that the first 3 decimals coincide. The cubic root of 2030013040 is about 1266.1921281835.

Adding to 2030013040 its reverse (403100302), we get a palindrome (2433113342).

The spelling of 2030013040 in words is "two billion, thirty million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1229 1877 2458 3754 4916 6145 7508 9385 9832 12290 13519 15016 18770 19664 20647 24580 27038 30032 37540 41294 49160 54076 67595 75080 82588 98320 103235 108152 135190 150160 165176 206470 216304 270380 330352 412940 540760 825880 1081520 1651760 2306833 4613666 9227332 11534165 18454664 23068330 25375163 36909328 46136660 50750326 92273320 101500652 126875815 184546640 203001304 253751630 406002608 507503260 1015006520 2030013040