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2012536420 = 225349373773
BaseRepresentation
bin111011111110100…
…1101111001100100
312012020221102221221
41313331031321210
513110202131140
6531411350124
7100605164056
oct16775157144
95166842857
102012536420
1194302a444
12481bb2344
13260c4656b
141513dd8d6
15bba3c14a
hex77f4de64

2012536420 has 48 divisors (see below), whose sum is σ = 4255297200. Its totient is φ = 799520256.

The previous prime is 2012536369. The next prime is 2012536423. The reversal of 2012536420 is 246352102.

It can be written as a sum of positive squares in 8 ways, for example, as 73719396 + 1938817024 = 8586^2 + 44032^2 .

It is not an unprimeable number, because it can be changed into a prime (2012536423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603154 + ... + 2603926.

It is an arithmetic number, because the mean of its divisors is an integer number (88652025).

Almost surely, 22012536420 is an apocalyptic number.

2012536420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012536420 is an abundant number, since it is smaller than the sum of its proper divisors (2242760780).

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

2012536420 is a wasteful number, since it uses less digits than its factorization.

2012536420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2012536420 is about 44861.3020319295. The cubic root of 2012536420 is about 1262.5480518913.

Adding to 2012536420 its reverse (246352102), we get a palindrome (2258888522).

The spelling of 2012536420 in words is "two billion, twelve million, five hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 349 373 698 746 773 1396 1492 1546 1745 1865 3092 3490 3730 3865 6980 7460 7730 15460 130177 260354 269777 288329 520708 539554 576658 650885 1079108 1153316 1301770 1348885 1441645 2603540 2697770 2883290 5395540 5766580 100626821 201253642 402507284 503134105 1006268210 2012536420