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2012130456 = 233725147717
BaseRepresentation
bin111011111101110…
…1010110010011000
312012020011211002020
41313323222302120
513110101133311
6531354534440
7100601553360
oct16773526230
95166154066
102012130456
11942882436
12481a37420
13260b3384b
141513359a0
15bb9abc06
hex77eeac98

2012130456 has 64 divisors (see below), whose sum is σ = 5771969280. Its totient is φ = 572592000.

The previous prime is 2012130451. The next prime is 2012130467. The reversal of 2012130456 is 6540312102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012130451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18310 + ... + 66026.

It is an arithmetic number, because the mean of its divisors is an integer number (90187020).

Almost surely, 22012130456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012130456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885984640).

2012130456 is an abundant number, since it is smaller than the sum of its proper divisors (3759838824).

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

2012130456 is a wasteful number, since it uses less digits than its factorization.

2012130456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47984 (or 47980 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2012130456 is about 44856.7771468259. Note that the first 3 decimals coincide. The cubic root of 2012130456 is about 1262.4631534650.

Adding to 2012130456 its reverse (6540312102), we get a palindrome (8552442558).

The spelling of 2012130456 in words is "two billion, twelve million, one hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 3012 3514 5271 6024 7028 10542 14056 21084 42168 47717 95434 143151 190868 286302 334019 381736 572604 668038 1002057 1145208 1336076 2004114 2672152 4008228 8016456 11976967 23953934 35930901 47907868 71861802 83838769 95815736 143723604 167677538 251516307 287447208 335355076 503032614 670710152 1006065228 2012130456