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20003505140 = 22519592773221
BaseRepresentation
bin10010101000010011…
…010100001111110100
31220122002010100101202
4102220103110033310
5311431344131030
613104532312032
71305463662653
oct225023241764
956562110352
1020003505140
118535503533
123a63172618
131b6a334198
14d7a95919a
157c120e745
hex4a84d43f4

20003505140 has 96 divisors (see below), whose sum is σ = 45144086400. Its totient is φ = 7422589440.

The previous prime is 20003505127. The next prime is 20003505227. The reversal of 20003505140 is 4150530002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6208730 + ... + 6211950.

It is an arithmetic number, because the mean of its divisors is an integer number (470250900).

Almost surely, 220003505140 is an apocalyptic number.

20003505140 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 20003505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572043200).

20003505140 is an abundant number, since it is smaller than the sum of its proper divisors (25140581260).

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

20003505140 is a wasteful number, since it uses less digits than its factorization.

20003505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 20003505140 in words is "twenty billion, three million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 277 295 380 554 590 1108 1121 1180 1385 2242 2770 3221 4484 5263 5540 5605 6442 10526 11210 12884 16105 16343 21052 22420 26315 32210 32686 52630 61199 64420 65372 81715 105260 122398 163430 190039 244796 305995 310517 326860 380078 611990 621034 760156 892217 950195 1223980 1242068 1552585 1784434 1900390 3105170 3568868 3610741 3800780 4461085 6210340 7221482 8922170 14442964 16952123 17844340 18053705 33904246 36107410 52640803 67808492 72214820 84760615 105281606 169521230 210563212 263204015 339042460 526408030 1000175257 1052816060 2000350514 4000701028 5000876285 10001752570 20003505140