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13140360 = 23335233
BaseRepresentation
bin110010001000…
…000110001000
3220201121012000
4302020012020
511330442420
61145351000
7216456042
oct62100610
926647160
1013140360
117465602
124498460
13295107c
141a60a92
151248690
hexc88188

13140360 has 128 divisors (see below), whose sum is σ = 45792000. Its totient is φ = 3351744.

The previous prime is 13140359. The next prime is 13140367. The reversal of 13140360 is 6304131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13140367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571309 + ... + 571331.

It is an arithmetic number, because the mean of its divisors is an integer number (357750).

Almost surely, 213140360 is an apocalyptic number.

13140360 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 13140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896000).

13140360 is an abundant number, since it is smaller than the sum of its proper divisors (32651640).

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

13140360 is an equidigital number, since it uses as much as digits as its factorization.

13140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13140360 is about 3624.9634480916. The cubic root of 13140360 is about 235.9766806414.

Adding to 13140360 its reverse (6304131), we get a palindrome (19444491).

The spelling of 13140360 in words is "thirteen million, one hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 529 540 552 621 690 828 920 1035 1058 1080 1242 1380 1587 1656 2070 2116 2484 2645 2760 3105 3174 4140 4232 4761 4968 5290 6210 6348 7935 8280 9522 10580 12167 12420 12696 14283 15870 19044 21160 23805 24334 24840 28566 31740 36501 38088 47610 48668 57132 60835 63480 71415 73002 95220 97336 109503 114264 121670 142830 146004 182505 190440 219006 243340 285660 292008 328509 365010 438012 486680 547515 571320 657018 730020 876024 1095030 1314036 1460040 1642545 2190060 2628072 3285090 4380120 6570180 13140360