Search a number
-
+
10294828720 = 24511176710271
BaseRepresentation
bin10011001011001111…
…01001111010110000
3222120110112111002121
421211213221322300
5132040434004340
64421313524024
7513054412621
oct114547517260
928513474077
1010294828720
114403187210
121bb3873614
13c80ac7537
146d938ba48
15403be994a
hex2659e9eb0

10294828720 has 160 divisors (see below), whose sum is σ = 28062775296. Its totient is φ = 3470438400.

The previous prime is 10294828717. The next prime is 10294828741. The reversal of 10294828720 is 2782849201.

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, 997185 + ... + 1007455.

Almost surely, 210294828720 is an apocalyptic number.

10294828720 is a gapful number since it is divisible by the number (10) 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 10294828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031387648).

10294828720 is an abundant number, since it is smaller than the sum of its proper divisors (17767946576).

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

10294828720 is a wasteful number, since it uses less digits than its factorization.

10294828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 10294828720 in words is "ten billion, two hundred ninety-four million, eight hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 67 68 80 85 88 110 134 136 170 176 187 220 268 272 335 340 374 440 536 670 680 737 748 880 935 1072 1139 1340 1360 1474 1496 1870 2278 2680 2948 2992 3685 3740 4556 5360 5695 5896 7370 7480 9112 10271 11390 11792 12529 14740 14960 18224 20542 22780 25058 29480 41084 45560 50116 51355 58960 62645 82168 91120 100232 102710 112981 125290 164336 174607 200464 205420 225962 250580 349214 410840 451924 501160 564905 688157 698428 821680 873035 903848 1002320 1129810 1376314 1396856 1746070 1807696 1920677 2259620 2752628 2793712 3440785 3492140 3841354 4519240 5505256 6881570 6984280 7569727 7682708 9038480 9603385 11010512 11698669 13763140 13968560 15139454 15365416 19206770 23397338 27526280 30278908 30730832 37848635 38413540 46794676 55052560 58493345 60557816 75697270 76827080 93589352 116986690 121115632 128685359 151394540 153654160 187178704 233973380 257370718 302789080 467946760 514741436 605578160 643426795 935893520 1029482872 1286853590 2058965744 2573707180 5147414360 10294828720