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13014240 = 2535191427
BaseRepresentation
bin110001101001…
…010011100000
3220111012011220
4301221103200
511312423430
61142535040
7215422251
oct61512340
926435156
1013014240
117389878
124437480
132908845
141a2ab28
151221110
hexc694e0

13014240 has 96 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3285504.

The previous prime is 13014193. The next prime is 13014247. The reversal of 13014240 is 4241031.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014247) 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, 8407 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 213014240 is an apocalyptic number.

13014240 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 13014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

13014240 is an abundant number, since it is smaller than the sum of its proper divisors (30168480).

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

13014240 is a wasteful number, since it uses less digits than its factorization.

13014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13014240 is about 3607.5254676856. The cubic root of 13014240 is about 235.2192913049.

Adding to 13014240 its reverse (4241031), we get a palindrome (17255271).

The spelling of 13014240 in words is "thirteen million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1427 1520 1824 2280 2854 3040 4281 4560 5708 7135 8562 9120 11416 14270 17124 21405 22832 27113 28540 34248 42810 45664 54226 57080 68496 81339 85620 108452 114160 135565 136992 162678 171240 216904 228320 271130 325356 342480 406695 433808 542260 650712 684960 813390 867616 1084520 1301424 1626780 2169040 2602848 3253560 4338080 6507120 13014240