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2012052520 = 235319071789
BaseRepresentation
bin111011111101101…
…0111110000101000
312012020000212011201
41313323113300220
513110041140040
6531353133544
7100601110222
oct16773276050
95166025151
102012052520
11942829925
124819ba2b4
13260b0722a
14151315412
15bb993a9a
hex77ed7c28

2012052520 has 64 divisors (see below), whose sum is σ = 4680921600. Its totient is φ = 777565440.

The previous prime is 2012052463. The next prime is 2012052521. The reversal of 2012052520 is 252502102.

It is not an unprimeable number, because it can be changed into a prime (2012052521) 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, 1123786 + ... + 1125574.

It is an arithmetic number, because the mean of its divisors is an integer number (73139400).

Almost surely, 22012052520 is an apocalyptic number.

2012052520 is a gapful number since it is divisible by the number (20) 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 2012052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340460800).

2012052520 is an abundant number, since it is smaller than the sum of its proper divisors (2668869080).

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

2012052520 is a wasteful number, since it uses less digits than its factorization.

2012052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2012052520 is about 44855.9084179554. The cubic root of 2012052520 is about 1262.4468535612.

Adding to 2012052520 its reverse (252502102), we get a palindrome (2264554622).

The spelling of 2012052520 in words is "two billion, twelve million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 907 1240 1789 1814 3578 3628 4535 7156 7256 8945 9070 14312 17890 18140 28117 35780 36280 55459 56234 71560 110918 112468 140585 221836 224936 277295 281170 443672 554590 562340 1109180 1124680 1622623 2218360 3245246 6490492 8113115 12980984 16226230 32452460 50301313 64904920 100602626 201205252 251506565 402410504 503013130 1006026260 2012052520