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2030057040 = 2435111745233
BaseRepresentation
bin111100100000000…
…0011011001010000
312020110220120201210
41321000003121100
513124143311130
6533235100120
7101210125434
oct17100033120
95213816653
102030057040
11951a069a0
12487a41640
1326476c2ab
141538809c4
15bd34d5b0
hex79003650

2030057040 has 160 divisors (see below), whose sum is σ = 7269284736. Its totient is φ = 463175680.

The previous prime is 2030057009. The next prime is 2030057069. The reversal of 2030057040 is 407500302.

It is a happy number.

It is a super-2 number, since 2×20300570402 = 8242263171307123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2030056998 and 2030057016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22264 + ... + 67496.

Almost surely, 22030057040 is an apocalyptic number.

2030057040 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 2030057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634642368).

2030057040 is an abundant number, since it is smaller than the sum of its proper divisors (5239227696).

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

2030057040 is a wasteful number, since it uses less digits than its factorization.

2030057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45277 (or 45271 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2030057040 is about 45056.1542966108. The cubic root of 2030057040 is about 1266.2012762447.

Adding to 2030057040 its reverse (407500302), we get a palindrome (2437557342).

The spelling of 2030057040 in words is "two billion, thirty million, fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 45233 90466 135699 180932 226165 271398 361864 452330 497563 542796 678495 723728 768961 904660 995126 1085592 1356990 1492689 1537922 1809320 1990252 2171184 2306883 2487815 2713980 2985378 3075844 3618640 3844805 3980504 4613766 4975630 5427960 5970756 6151688 7463445 7689610 7961008 8458571 9227532 9951260 10855920 11534415 11941512 12303376 14926890 15379220 16917142 18455064 19902520 23068830 23883024 25375713 29853780 30758440 33834284 36910128 39805040 42292855 46137660 50751426 59707560 61516880 67668568 84585710 92275320 101502852 119415120 126878565 135337136 169171420 184550640 203005704 253757130 338342840 406011408 507514260 676685680 1015028520 2030057040