Search a number
-
+
13045440 = 2635107127
BaseRepresentation
bin110001110000…
…111011000000
3220112202222110
4301300323000
511314423230
61143335320
7215612232
oct61607300
926482873
1013045440
117400261
124451540
132919ac5
141a38252
15122a4b0
hexc70ec0

13045440 has 112 divisors (see below), whose sum is σ = 42135552. Its totient is φ = 3419136.

The previous prime is 13045429. The next prime is 13045441. The reversal of 13045440 is 4454031.

13045440 = T185 + T186 + ... + T438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045441) 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, 102657 + ... + 102783.

Almost surely, 213045440 is an apocalyptic number.

13045440 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 13045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776).

13045440 is an abundant number, since it is smaller than the sum of its proper divisors (29090112).

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

13045440 is a wasteful number, since it uses less digits than its factorization.

13045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13045440 is about 3611.8471728466. The cubic root of 13045440 is about 235.4071108277.

Adding to 13045440 its reverse (4454031), we get a palindrome (17499471).

The spelling of 13045440 in words is "thirteen million, forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 127 160 192 214 240 254 320 321 381 428 480 508 535 635 642 762 856 960 1016 1070 1270 1284 1524 1605 1712 1905 2032 2140 2540 2568 3048 3210 3424 3810 4064 4280 5080 5136 6096 6420 6848 7620 8128 8560 10160 10272 12192 12840 13589 15240 17120 20320 20544 24384 25680 27178 30480 34240 40640 40767 51360 54356 60960 67945 81534 102720 108712 121920 135890 163068 203835 217424 271780 326136 407670 434848 543560 652272 815340 869696 1087120 1304544 1630680 2174240 2609088 3261360 4348480 6522720 13045440