Search a number
-
+
10961340 = 22351322347
BaseRepresentation
bin101001110100…
…000110111100
3202121220010120
4221310012330
510301230330
61030534540
7162112155
oct51640674
922556116
1010961340
116207465
123807450
13236a300
14165492c
15e67c10
hexa741bc

10961340 has 144 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 2525952.

The previous prime is 10961323. The next prime is 10961341. The reversal of 10961340 is 4316901.

10961340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10961340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10961341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233197 + ... + 233243.

It is an arithmetic number, because the mean of its divisors is an integer number (245952).

Almost surely, 210961340 is an apocalyptic number.

10961340 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 10961340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544).

10961340 is an abundant number, since it is smaller than the sum of its proper divisors (24455748).

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

10961340 is a wasteful number, since it uses less digits than its factorization.

10961340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10961340 is about 3310.7914461651. The cubic root of 10961340 is about 222.1371605926.

The spelling of 10961340 in words is "ten million, nine hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 47 52 60 65 69 78 92 94 115 130 138 141 156 169 188 195 230 235 260 276 282 299 338 345 390 460 470 507 564 598 611 676 690 705 780 845 897 940 1014 1081 1196 1222 1380 1410 1495 1690 1794 1833 2028 2162 2444 2535 2820 2990 3055 3243 3380 3588 3666 3887 4324 4485 5070 5405 5980 6110 6486 7332 7774 7943 8970 9165 10140 10810 11661 12220 12972 14053 15548 15886 16215 17940 18330 19435 21620 23322 23829 28106 31772 32430 36660 38870 39715 42159 46644 47658 56212 58305 64860 70265 77740 79430 84318 95316 116610 119145 140530 158860 168636 182689 210795 233220 238290 281060 365378 421590 476580 548067 730756 843180 913445 1096134 1826890 2192268 2740335 3653780 5480670 10961340