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12071040 = 27356287
BaseRepresentation
bin101110000011…
…000010000000
3211201021100120
4232003002000
511042233130
61110420240
7204413352
oct56030200
924637316
1012071040
1168a5173
124061680
132668437
1418630d2
1510d6910
hexb83080

12071040 has 64 divisors (see below), whose sum is σ = 38482560. Its totient is φ = 3218432.

The previous prime is 12071029. The next prime is 12071053. The reversal of 12071040 is 4017021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 1224 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (601290).

Almost surely, 212071040 is an apocalyptic number.

12071040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12071040 is an abundant number, since it is smaller than the sum of its proper divisors (26411520).

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

12071040 is an equidigital number, since it uses as much as digits as its factorization.

12071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12071040 is about 3474.3402251363. The cubic root of 12071040 is about 229.3937404720.

Adding to 12071040 its reverse (4017021), we get a palindrome (16088061).

The spelling of 12071040 in words is "twelve million, seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6287 12574 18861 25148 31435 37722 50296 62870 75444 94305 100592 125740 150888 188610 201184 251480 301776 377220 402368 502960 603552 754440 804736 1005920 1207104 1508880 2011840 2414208 3017760 4023680 6035520 12071040