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13027440 = 24351731103
BaseRepresentation
bin110001101100…
…100001110000
3220111212021210
4301230201300
511313334230
61143120120
7215505606
oct61544160
926455253
1013027440
117398788
124443040
13291185a
141a31876
151224eb0
hexc6c870

13027440 has 160 divisors (see below), whose sum is σ = 44568576. Its totient is φ = 3133440.

The previous prime is 13027439. The next prime is 13027447. The reversal of 13027440 is 4472031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027447) 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, 126429 + ... + 126531.

Almost surely, 213027440 is an apocalyptic number.

13027440 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 13027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284288).

13027440 is an abundant number, since it is smaller than the sum of its proper divisors (31541136).

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

13027440 is a wasteful number, since it uses less digits than its factorization.

13027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13027440 is about 3609.3545129289. The cubic root of 13027440 is about 235.2987900053.

Adding to 13027440 its reverse (4472031), we get a palindrome (17499471).

The spelling of 13027440 in words is "thirteen million, twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 103 120 124 136 155 170 186 204 206 240 248 255 272 309 310 340 372 408 412 465 496 510 515 527 618 620 680 744 816 824 930 1020 1030 1054 1236 1240 1360 1488 1545 1581 1648 1751 1860 2040 2060 2108 2472 2480 2635 3090 3162 3193 3502 3720 4080 4120 4216 4944 5253 5270 6180 6324 6386 7004 7440 7905 8240 8432 8755 9579 10506 10540 12360 12648 12772 14008 15810 15965 17510 19158 21012 21080 24720 25296 25544 26265 28016 31620 31930 35020 38316 42024 42160 47895 51088 52530 54281 63240 63860 70040 76632 84048 95790 105060 108562 126480 127720 140080 153264 162843 191580 210120 217124 255440 271405 325686 383160 420240 434248 542810 651372 766320 814215 868496 1085620 1302744 1628430 2171240 2605488 3256860 4342480 6513720 13027440