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10160142360 = 23352326313997
BaseRepresentation
bin10010111011001011…
…10111100000011000
3222020002002201010220
421131211313200120
5131301444023420
64400103040040
7506530533204
oct113545674030
928202081126
1010160142360
114344154375
121b76740020
13c5bc2a974
146c552bb04
153e6e92840
hex25d977818

10160142360 has 128 divisors (see below), whose sum is σ = 31928878080. Its totient is φ = 2581534208.

The previous prime is 10160142331. The next prime is 10160142397. The reversal of 10160142360 is 6324106101.

10160142360 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10160142360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718882 + ... + 732878.

It is an arithmetic number, because the mean of its divisors is an integer number (249444360).

Almost surely, 210160142360 is an apocalyptic number.

10160142360 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 10160142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964439040).

10160142360 is an abundant number, since it is smaller than the sum of its proper divisors (21768735720).

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

10160142360 is a wasteful number, since it uses less digits than its factorization.

10160142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10160142360 its reverse (6324106101), we get a palindrome (16484248461).

The spelling of 10160142360 in words is "ten billion, one hundred sixty million, one hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 263 276 345 460 526 552 690 789 920 1052 1315 1380 1578 2104 2630 2760 3156 3945 5260 6049 6312 7890 10520 12098 13997 15780 18147 24196 27994 30245 31560 36294 41991 48392 55988 60490 69985 72588 83982 90735 111976 120980 139970 145176 167964 181470 209955 241960 279940 321931 335928 362940 419910 559880 643862 725880 839820 965793 1287724 1609655 1679640 1931586 2575448 3219310 3681211 3863172 4828965 6438620 7362422 7726344 9657930 11043633 12877240 14724844 18406055 19315860 22087266 29449688 36812110 38631720 44174532 55218165 73624220 84667853 88349064 110436330 147248440 169335706 220872660 254003559 338671412 423339265 441745320 508007118 677342824 846678530 1016014236 1270017795 1693357060 2032028472 2540035590 3386714120 5080071180 10160142360