Search a number
-
+
12061440 = 28335349
BaseRepresentation
bin101110000000…
…101100000000
3211200210012000
4232000230000
511041431230
61110304000
7204343356
oct56005400
924623160
1012061440
116898a36
124058000
132663c61
14185d7d6
1510d3b60
hexb80b00

12061440 has 144 divisors (see below), whose sum is σ = 42924000. Its totient is φ = 3207168.

The previous prime is 12061433. The next prime is 12061471. The reversal of 12061440 is 4416021.

12061440 is a `hidden beast` number, since 12 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34386 + ... + 34734.

Almost surely, 212061440 is an apocalyptic number.

12061440 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 12061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462000).

12061440 is an abundant number, since it is smaller than the sum of its proper divisors (30862560).

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

12061440 is an equidigital number, since it uses as much as digits as its factorization.

12061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12061440 is about 3472.9583930707. The cubic root of 12061440 is about 229.3329126848.

Adding to 12061440 its reverse (4416021), we get a palindrome (16477461).

The spelling of 12061440 in words is "twelve million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 349 360 384 432 480 540 576 640 698 720 768 864 960 1047 1080 1152 1280 1396 1440 1728 1745 1920 2094 2160 2304 2792 2880 3141 3456 3490 3840 4188 4320 5235 5584 5760 6282 6912 6980 8376 8640 9423 10470 11168 11520 12564 13960 15705 16752 17280 18846 20940 22336 25128 27920 31410 33504 34560 37692 41880 44672 47115 50256 55840 62820 67008 75384 83760 89344 94230 100512 111680 125640 134016 150768 167520 188460 201024 223360 251280 268032 301536 335040 376920 402048 446720 502560 603072 670080 753840 804096 1005120 1206144 1340160 1507680 2010240 2412288 3015360 4020480 6030720 12061440