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2071003284 = 22327731031093
BaseRepresentation
bin111101101110001…
…0000000010010100
312100022221212102100
41323130100002110
513220134101114
6541300442100
7102215144310
oct17334200224
95308855370
102071003284
11973033469
124996a9330
132700a773c
1415909cb40
15c1c3a909
hex7b710094

2071003284 has 144 divisors (see below), whose sum is σ = 6129340672. Its totient is φ = 577414656.

The previous prime is 2071003271. The next prime is 2071003307. The reversal of 2071003284 is 4823001702.

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 47 ways as a sum of consecutive naturals, for example, 1894242 + ... + 1895334.

Almost surely, 22071003284 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 2071003284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064670336).

2071003284 is an abundant number, since it is smaller than the sum of its proper divisors (4058337388).

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

2071003284 is a wasteful number, since it uses less digits than its factorization.

2071003284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2071003284 is about 45508.2770932937. The cubic root of 2071003284 is about 1274.6577646622.

Adding to 2071003284 its reverse (4823001702), we get a palindrome (6894004986).

The spelling of 2071003284 in words is "two billion, seventy-one million, three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 103 126 146 206 219 252 292 309 412 438 511 618 657 721 876 927 1022 1093 1236 1314 1442 1533 1854 2044 2163 2186 2628 2884 3066 3279 3708 4326 4372 4599 6132 6489 6558 7519 7651 8652 9198 9837 12978 13116 15038 15302 18396 19674 22557 22953 25956 30076 30604 39348 45114 45906 52633 67671 68859 79789 90228 91812 105266 112579 135342 137718 157899 159578 210532 225158 239367 270684 275436 315798 319156 337737 450316 473697 478734 558523 631596 675474 718101 788053 947394 957468 1013211 1117046 1350948 1436202 1576106 1675569 1894788 2026422 2234092 2364159 2872404 3152212 3351138 4052844 4728318 5026707 6702276 7092477 8218267 9456636 10053414 14184954 16436534 20106828 24654801 28369908 32873068 49309602 57527869 73964403 98619204 115055738 147928806 172583607 230111476 295857612 345167214 517750821 690334428 1035501642 2071003284