Search a number
-
+
13158240 = 253579347
BaseRepresentation
bin110010001100…
…011101100000
3220202111201020
4302030131200
511332030430
61150005440
7216562134
oct62143540
926674636
1013158240
117477a87
1244a6880
132959254
141a673c4
15124db10
hexc8c760

13158240 has 96 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 3454464.

The previous prime is 13158227. The next prime is 13158247. The reversal of 13158240 is 4285131.

Added to its reverse (4285131) it gives a triangular number (17443371 = T5906).

It is a tau number, because it is divible by the number of its divisors (96).

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 13158240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13158247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37747 + ... + 38093.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 213158240 is an apocalyptic number.

13158240 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 13158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

13158240 is an abundant number, since it is smaller than the sum of its proper divisors (28935840).

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

13158240 is a wasteful number, since it uses less digits than its factorization.

13158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13158240 is about 3627.4288414799. The cubic root of 13158240 is about 236.0836627633.

Adding to 13158240 its reverse (4285131), we get a triangular number (17443371 = T5906).

The spelling of 13158240 in words is "thirteen million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 347 395 474 480 632 694 790 948 1041 1185 1264 1388 1580 1735 1896 2082 2370 2528 2776 3160 3470 3792 4164 4740 5205 5552 6320 6940 7584 8328 9480 10410 11104 12640 13880 16656 18960 20820 27413 27760 33312 37920 41640 54826 55520 82239 83280 109652 137065 164478 166560 219304 274130 328956 411195 438608 548260 657912 822390 877216 1096520 1315824 1644780 2193040 2631648 3289560 4386080 6579120 13158240