Search a number
-
+
2031880536 = 233272327621
BaseRepresentation
bin111100100011100…
…0000100101011000
312020121100020002200
41321013000211120
513130130134121
6533342130200
7101231461650
oct17107004530
95217306080
102031880536
11952a41a14
12488580960
13264c5a29a
14153bd7360
15bd5ada26
hex791c0958

2031880536 has 144 divisors (see below), whose sum is σ = 6575346960. Its totient is φ = 555223680.

The previous prime is 2031880519. The next prime is 2031880541. The reversal of 2031880536 is 6350881302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2031880536.

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 35 ways as a sum of consecutive naturals, for example, 262806 + ... + 270426.

Almost surely, 22031880536 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 2031880536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287673480).

2031880536 is an abundant number, since it is smaller than the sum of its proper divisors (4543466424).

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

2031880536 is a wasteful number, since it uses less digits than its factorization.

2031880536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2031880536 is about 45076.3855693865. The cubic root of 2031880536 is about 1266.5802839829.

The spelling of 2031880536 in words is "two billion, thirty-one million, eight hundred eighty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 529 552 644 828 966 1058 1288 1449 1587 1656 1932 2116 2898 3174 3703 3864 4232 4761 5796 6348 7406 7621 9522 11109 11592 12696 14812 15242 19044 22218 22863 29624 30484 33327 38088 44436 45726 53347 60968 66654 68589 88872 91452 106694 133308 137178 160041 175283 182904 213388 266616 274356 320082 350566 426776 480123 525849 548712 640164 701132 960246 1051698 1226981 1280328 1402264 1577547 1920492 2103396 2453962 3155094 3680943 3840984 4031509 4206792 4907924 6310188 7361886 8063018 9815848 11042829 12094527 12620376 14723772 16126036 22085658 24189054 28220563 29447544 32252072 36283581 44171316 48378108 56441126 72567162 84661689 88342632 96756216 112882252 145134324 169323378 225764504 253985067 290268648 338646756 507970134 677293512 1015940268 2031880536