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13045320 = 2333547257
BaseRepresentation
bin110001110000…
…111001001000
3220112202211000
4301300321020
511314422240
61143335000
7215612001
oct61607110
926482730
1013045320
117400162
124451460
132919a32
141a381a8
15122a430
hexc70e48

13045320 has 128 divisors (see below), whose sum is σ = 44582400. Its totient is φ = 3391488.

The previous prime is 13045309. The next prime is 13045321. The reversal of 13045320 is 2354031.

13045320 is a `hidden beast` number, since 130 + 4 + 532 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13045293 and 13045302.

It is not an unprimeable number, because it can be changed into a prime (13045321) 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, 50632 + ... + 50888.

It is an arithmetic number, because the mean of its divisors is an integer number (348300).

Almost surely, 213045320 is an apocalyptic number.

13045320 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 13045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291200).

13045320 is an abundant number, since it is smaller than the sum of its proper divisors (31537080).

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

13045320 is a wasteful number, since it uses less digits than its factorization.

13045320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13045320 is about 3611.8305608099. The cubic root of 13045320 is about 235.4063890189.

Adding to 13045320 its reverse (2354031), we get a palindrome (15399351).

The spelling of 13045320 in words is "thirteen million, forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 257 270 282 360 376 423 470 514 540 564 705 771 846 940 1028 1080 1128 1269 1285 1410 1542 1692 1880 2056 2115 2313 2538 2570 2820 3084 3384 3855 4230 4626 5076 5140 5640 6168 6345 6939 7710 8460 9252 10152 10280 11565 12079 12690 13878 15420 16920 18504 23130 24158 25380 27756 30840 34695 36237 46260 48316 50760 55512 60395 69390 72474 92520 96632 108711 120790 138780 144948 181185 217422 241580 277560 289896 326133 362370 434844 483160 543555 652266 724740 869688 1087110 1304532 1449480 1630665 2174220 2609064 3261330 4348440 6522660 13045320