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13070960 = 2457171373
BaseRepresentation
bin110001110111…
…001001110000
3220121001222122
4301313021300
511321232320
61144053412
7216046520
oct61671160
926531878
1013070960
117418451
124464268
1329285c6
141a43680
151232d25
hexc77270

13070960 has 80 divisors (see below), whose sum is σ = 36801216. Its totient is φ = 4214784.

The previous prime is 13070903. The next prime is 13070983. The reversal of 13070960 is 6907031.

13070960 = T1929 + T1930 + ... + T1935.

It is a happy number.

13070960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8834 + ... + 10206.

Almost surely, 213070960 is an apocalyptic number.

13070960 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 13070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400608).

13070960 is an abundant number, since it is smaller than the sum of its proper divisors (23730256).

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

13070960 is a wasteful number, since it uses less digits than its factorization.

13070960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 13070960 is about 3615.3782651335. The cubic root of 13070960 is about 235.5605150387.

Adding to 13070960 its reverse (6907031), we get a palindrome (19977991).

The spelling of 13070960 in words is "thirteen million, seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1373 1904 2380 2746 4760 5492 6865 9520 9611 10984 13730 19222 21968 23341 27460 38444 46682 48055 54920 76888 93364 96110 109840 116705 153776 163387 186728 192220 233410 326774 373456 384440 466820 653548 768880 816935 933640 1307096 1633870 1867280 2614192 3267740 6535480 13070960