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12045440 = 275112959
BaseRepresentation
bin101101111100…
…110010000000
3211122222020102
4231330302000
511040423230
61110101532
7204245621
oct55746200
924588212
1012045440
116887a10
12404a8a8
1326598a4
141857a48
1510ce045
hexb7cc80

12045440 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 4157440.

The previous prime is 12045437. The next prime is 12045443. The reversal of 12045440 is 4454021.

It is an interprime number because it is at equal distance from previous prime (12045437) and next prime (12045443).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12045443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204131 + ... + 204189.

Almost surely, 212045440 is an apocalyptic number.

12045440 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 12045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

12045440 is an abundant number, since it is smaller than the sum of its proper divisors (21002560).

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

12045440 is a wasteful number, since it uses less digits than its factorization.

12045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 12045440 is about 3470.6541170217. The cubic root of 12045440 is about 229.2314612742.

Adding to 12045440 its reverse (4454021), we get a palindrome (16499461).

The spelling of 12045440 in words is "twelve million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 59 64 80 88 110 116 118 128 145 160 176 220 232 236 290 295 319 320 352 440 464 472 580 590 638 640 649 704 880 928 944 1160 1180 1276 1298 1408 1595 1711 1760 1856 1888 2320 2360 2552 2596 3190 3245 3422 3520 3712 3776 4640 4720 5104 5192 6380 6490 6844 7040 7552 8555 9280 9440 10208 10384 12760 12980 13688 17110 18560 18821 18880 20416 20768 25520 25960 27376 34220 37642 37760 40832 41536 51040 51920 54752 68440 75284 83072 94105 102080 103840 109504 136880 150568 188210 204160 207680 219008 273760 301136 376420 415360 547520 602272 752840 1095040 1204544 1505680 2409088 3011360 6022720 12045440