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13119240 = 23351759109
BaseRepresentation
bin110010000010…
…111100001000
3220200112012210
4302002330020
511324303430
61145105120
7216340341
oct62027410
926615183
1013119240
117450752
1244881a0
132944584
141a570c8
1512422b0
hexc82f08

13119240 has 128 divisors (see below), whose sum is σ = 42768000. Its totient is φ = 3207168.

The previous prime is 13119233. The next prime is 13119247. The reversal of 13119240 is 4291131.

It is an interprime number because it is at equal distance from previous prime (13119233) and next prime (13119247).

It is a super-2 number, since 2×131192402 = 344228916355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13119247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120306 + ... + 120414.

It is an arithmetic number, because the mean of its divisors is an integer number (334125).

Almost surely, 213119240 is an apocalyptic number.

13119240 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 13119240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384000).

13119240 is an abundant number, since it is smaller than the sum of its proper divisors (29648760).

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

13119240 is a wasteful number, since it uses less digits than its factorization.

13119240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13119240 is about 3622.0491437859. The cubic root of 13119240 is about 235.8501874051.

The spelling of 13119240 in words is "thirteen million, one hundred nineteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 59 60 68 85 102 109 118 120 136 170 177 204 218 236 255 295 327 340 354 408 436 472 510 545 590 654 680 708 872 885 1003 1020 1090 1180 1308 1416 1635 1770 1853 2006 2040 2180 2360 2616 3009 3270 3540 3706 4012 4360 5015 5559 6018 6431 6540 7080 7412 8024 9265 10030 11118 12036 12862 13080 14824 15045 18530 19293 20060 22236 24072 25724 27795 30090 32155 37060 38586 40120 44472 51448 55590 60180 64310 74120 77172 96465 109327 111180 120360 128620 154344 192930 218654 222360 257240 327981 385860 437308 546635 655962 771720 874616 1093270 1311924 1639905 2186540 2623848 3279810 4373080 6559620 13119240