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13514040 = 233454397
BaseRepresentation
bin110011100011…
…010100111000
3221102120210000
4303203110320
511424422130
61201353000
7222603351
oct63432470
927376700
1013514040
1176a0331
124638760
132a52197
141b1ad28
1512be260
hexce3538

13514040 has 160 divisors (see below), whose sum is σ = 46957680. Its totient is φ = 3483648.

The previous prime is 13514021. The next prime is 13514057. The reversal of 13514040 is 4041531.

It is a happy number.

13514040 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139272 + ... + 139368.

Almost surely, 213514040 is an apocalyptic number.

13514040 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 13514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478840).

13514040 is an abundant number, since it is smaller than the sum of its proper divisors (33443640).

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

13514040 is a wasteful number, since it uses less digits than its factorization.

13514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13514040 is about 3676.1447196758. The cubic root of 13514040 is about 238.1926740509.

Adding to 13514040 its reverse (4041531), we get a palindrome (17555571).

The spelling of 13514040 in words is "thirteen million, five hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 97 108 120 129 135 162 172 180 194 215 216 258 270 291 324 344 360 387 388 405 430 485 516 540 582 645 648 774 776 810 860 873 970 1032 1080 1161 1164 1290 1455 1548 1620 1720 1746 1935 1940 2322 2328 2580 2619 2910 3096 3240 3483 3492 3870 3880 4171 4365 4644 5160 5238 5805 5820 6966 6984 7740 7857 8342 8730 9288 10476 11610 11640 12513 13095 13932 15480 15714 16684 17415 17460 20855 20952 23220 25026 26190 27864 31428 33368 34830 34920 37539 39285 41710 46440 50052 52380 62565 62856 69660 75078 78570 83420 100104 104760 112617 125130 139320 150156 157140 166840 187695 225234 250260 300312 314280 337851 375390 450468 500520 563085 675702 750780 900936 1126170 1351404 1501560 1689255 2252340 2702808 3378510 4504680 6757020 13514040