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13060440 = 2334529139
BaseRepresentation
bin110001110100…
…100101011000
3220120112120000
4301310211120
511320413230
61143533000
7216004041
oct61644530
926515500
1013060440
117410558
12445a160
132923893
141a3d8c8
15122eb60
hexc74958

13060440 has 160 divisors (see below), whose sum is σ = 45738000. Its totient is φ = 3338496.

The previous prime is 13060423. The next prime is 13060447. The reversal of 13060440 is 4406031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13060447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93891 + ... + 94029.

Almost surely, 213060440 is an apocalyptic number.

13060440 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 13060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869000).

13060440 is an abundant number, since it is smaller than the sum of its proper divisors (32677560).

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

13060440 is a wasteful number, since it uses less digits than its factorization.

13060440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13060440 is about 3613.9230761044. The cubic root of 13060440 is about 235.4973020909.

Adding to 13060440 its reverse (4406031), we get a palindrome (17466471).

The spelling of 13060440 in words is "thirteen million, sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 139 145 162 174 180 216 232 261 270 278 290 324 348 360 405 417 435 522 540 556 580 648 695 696 783 810 834 870 1044 1080 1112 1160 1251 1305 1390 1566 1620 1668 1740 2085 2088 2349 2502 2610 2780 3132 3240 3336 3480 3753 3915 4031 4170 4698 5004 5220 5560 6255 6264 7506 7830 8062 8340 9396 10008 10440 11259 11745 12093 12510 15012 15660 16124 16680 18765 18792 20155 22518 23490 24186 25020 30024 31320 32248 36279 37530 40310 45036 46980 48372 50040 56295 60465 72558 75060 80620 90072 93960 96744 108837 112590 120930 145116 150120 161240 181395 217674 225180 241860 290232 326511 362790 435348 450360 483720 544185 653022 725580 870696 1088370 1306044 1451160 1632555 2176740 2612088 3265110 4353480 6530220 13060440