Search a number
-
+
2060000040 = 2335710124281
BaseRepresentation
bin111101011001001…
…0001101100101000
312022120020211210210
41322302101230220
513204330000130
6540224541120
7102022466010
oct17262215450
95276224723
102060000040
119678a857a
12495a817a0
1326aa24347
14157836c40
15c0cb55b0
hex7ac91b28

2060000040 has 128 divisors (see below), whose sum is σ = 7133080320. Its totient is φ = 466176000.

The previous prime is 2060000039. The next prime is 2060000051. The reversal of 2060000040 is 400000602.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2059999980 and 2060000025.

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, 72700 + ... + 96980.

It is an arithmetic number, because the mean of its divisors is an integer number (55727190).

Almost surely, 22060000040 is an apocalyptic number.

2060000040 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 2060000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566540160).

2060000040 is an abundant number, since it is smaller than the sum of its proper divisors (5073080280).

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

2060000040 is a wasteful number, since it uses less digits than its factorization.

2060000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24403 (or 24399 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2060000040 is about 45387.2233122935. The cubic root of 2060000040 is about 1272.3963352983.

Adding to 2060000040 its reverse (400000602), we get a palindrome (2460000642).

The spelling of 2060000040 in words is "two billion, sixty million, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 24281 28280 42420 48562 72843 84840 97124 121405 145686 169967 194248 242810 291372 339934 364215 485620 509901 582744 679868 728430 849835 971240 1019802 1359736 1456860 1699670 2039604 2452381 2549505 2913720 3399340 4079208 4904762 5099010 6798680 7357143 9809524 10198020 12261905 14714286 17166667 19619048 20396040 24523810 29428572 34333334 36785715 49047620 51500001 58857144 68666668 73571430 85833335 98095240 103000002 137333336 147142860 171666670 206000004 257500005 294285720 343333340 412000008 515000010 686666680 1030000020 2060000040