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2012432160 = 25354192567
BaseRepresentation
bin111011111110011…
…0100011100100000
312012020202010221110
41313330310130200
513110140312120
6531405223320
7100604251104
oct16774643440
95166663843
102012432160
11942a69082
12481b61b40
13260c0ac7b
141513b3904
15bba1b2e0
hex77f34720

2012432160 has 48 divisors (see below), whose sum is σ = 6339162816. Its totient is φ = 536648448.

The previous prime is 2012432153. The next prime is 2012432189. The reversal of 2012432160 is 612342102.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2095804 + ... + 2096763.

It is an arithmetic number, because the mean of its divisors is an integer number (132065892).

Almost surely, 22012432160 is an apocalyptic number.

2012432160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012432160 is an abundant number, since it is smaller than the sum of its proper divisors (4326730656).

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

2012432160 is a wasteful number, since it uses less digits than its factorization.

2012432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192585 (or 4192577 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2012432160 is about 44860.1399908649. The cubic root of 2012432160 is about 1262.5262492990.

Adding to 2012432160 its reverse (612342102), we get a palindrome (2624774262).

The spelling of 2012432160 in words is "two billion, twelve million, four hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4192567 8385134 12577701 16770268 20962835 25155402 33540536 41925670 50310804 62888505 67081072 83851340 100621608 125777010 134162144 167702680 201243216 251554020 335405360 402486432 503108040 670810720 1006216080 2012432160