Search a number
-
+
2936141040 = 243573534951
BaseRepresentation
bin1010111100000001…
…1111010011110000
321120121212102022110
42233000133103300
522003123003130
61203203405320
7132521533650
oct25700372360
97517772273
102936141040
111277414248
1269b383840
1337a3b5c81
141dbd42360
15122b7cab0
hexaf01f4f0

2936141040 has 160 divisors (see below), whose sum is σ = 10433903616. Its totient is φ = 669081600.

The previous prime is 2936140997. The next prime is 2936141059. The reversal of 2936141040 is 401416392.

2936141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2936140989 and 2936141007.

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, 590565 + ... + 595515.

Almost surely, 22936141040 is an apocalyptic number.

2936141040 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 2936141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216951808).

2936141040 is an abundant number, since it is smaller than the sum of its proper divisors (7497762576).

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

2936141040 is a wasteful number, since it uses less digits than its factorization.

2936141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2936141040 is about 54186.1701912951. The cubic root of 2936141040 is about 1431.9426935235.

The spelling of 2936141040 in words is "two billion, nine hundred thirty-six million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 353 420 560 706 840 1059 1412 1680 1765 2118 2471 2824 3530 4236 4942 4951 5295 5648 7060 7413 8472 9884 9902 10590 12355 14120 14826 14853 16944 19768 19804 21180 24710 24755 28240 29652 29706 34657 37065 39536 39608 42360 49420 49510 59304 59412 69314 74130 74265 79216 84720 98840 99020 103971 118608 118824 138628 148260 148530 173285 197680 198040 207942 237648 277256 296520 297060 346570 396080 415884 519855 554512 593040 594120 693140 831768 1039710 1188240 1386280 1663536 1747703 2079420 2772560 3495406 4158840 5243109 6990812 8317680 8738515 10486218 12233921 13981624 17477030 20972436 24467842 26215545 27963248 34954060 36701763 41944872 48935684 52431090 61169605 69908120 73403526 83889744 97871368 104862180 122339210 139816240 146807052 183508815 195742736 209724360 244678420 293614104 367017630 419448720 489356840 587228208 734035260 978713680 1468070520 2936141040