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2012414140 = 2251113169827
BaseRepresentation
bin111011111110011…
…0000000010111100
312012020201020020001
41313330300002330
513110134223030
6531405004044
7100604144422
oct16774600274
95166636201
102012414140
11942a56590
12481b53624
13260c029c9
141513ab112
15bba15cca
hex77f300bc

2012414140 has 48 divisors (see below), whose sum is σ = 4645517184. Its totient is φ = 726190400.

The previous prime is 2012414093. The next prime is 2012414143. The reversal of 2012414140 is 414142102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012414143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6094 + ... + 63733.

It is an arithmetic number, because the mean of its divisors is an integer number (96781608).

Almost surely, 22012414140 is an apocalyptic number.

2012414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012414140 is an abundant number, since it is smaller than the sum of its proper divisors (2633103044).

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

2012414140 is a wasteful number, since it uses less digits than its factorization.

2012414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69978 (or 69976 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2012414140 is about 44859.9391439623. The cubic root of 2012414140 is about 1262.5224809250.

Adding to 2012414140 its reverse (414142102), we get a palindrome (2426556242).

The spelling of 2012414140 in words is "two billion, twelve million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 28820 69827 139654 279308 349135 698270 768097 1396540 1536194 3072388 3840485 7680970 9147337 15361940 18294674 36589348 45736685 91473370 100620707 182946740 201241414 402482828 503103535 1006207070 2012414140