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12045240 = 2333519587
BaseRepresentation
bin101101111100…
…101110111000
3211122221222000
4231330232320
511040421430
61110101000
7204245214
oct55745670
924587860
1012045240
116887849
12404a760
13265977c
141857944
1510cde60
hexb7cbb8

12045240 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3037824.

The previous prime is 12045227. The next prime is 12045247. The reversal of 12045240 is 4254021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045247) 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, 20227 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 212045240 is an apocalyptic number.

12045240 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 12045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12045240 is an abundant number, since it is smaller than the sum of its proper divisors (30290760).

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

12045240 is a wasteful number, since it uses less digits than its factorization.

12045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12045240 is about 3470.6253038898. The cubic root of 12045240 is about 229.2301925632.

Adding to 12045240 its reverse (4254021), we get a palindrome (16299261).

The spelling of 12045240 in words is "twelve million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 587 684 760 855 1026 1080 1140 1174 1368 1710 1761 2052 2280 2348 2565 2935 3420 3522 4104 4696 5130 5283 5870 6840 7044 8805 10260 10566 11153 11740 14088 15849 17610 20520 21132 22306 23480 26415 31698 33459 35220 42264 44612 52830 55765 63396 66918 70440 79245 89224 100377 105660 111530 126792 133836 158490 167295 200754 211320 223060 267672 301131 316980 334590 401508 446120 501885 602262 633960 669180 803016 1003770 1204524 1338360 1505655 2007540 2409048 3011310 4015080 6022620 12045240