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2012045420 = 2257118811483
BaseRepresentation
bin111011111101101…
…0110000001101100
312012020000111102202
41313323112001230
513110040423140
6531353041032
7100601050430
oct16773260154
95166014382
102012045420
11942824560
124819b6178
13260b03c28
141513129c0
15bb991915
hex77ed606c

2012045420 has 96 divisors (see below), whose sum is σ = 5277436416. Its totient is φ = 625996800.

The previous prime is 2012045417. The next prime is 2012045437. The reversal of 2012045420 is 245402102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2012045392 and 2012045401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355999 + ... + 1357481.

It is an arithmetic number, because the mean of its divisors is an integer number (54973296).

Almost surely, 22012045420 is an apocalyptic number.

2012045420 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 2012045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638718208).

2012045420 is an abundant number, since it is smaller than the sum of its proper divisors (3265390996).

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

2012045420 is a wasteful number, since it uses less digits than its factorization.

2012045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2012045420 is about 44855.8292755802. The cubic root of 2012045420 is about 1262.4453686127.

Adding to 2012045420 its reverse (245402102), we get a palindrome (2257447522).

The spelling of 2012045420 in words is "two billion, twelve million, forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 881 1483 1540 1762 2966 3524 4405 5932 6167 7415 8810 9691 10381 12334 14830 16313 17620 19382 20762 24668 29660 30835 32626 38764 41524 48455 51905 61670 65252 67837 81565 96910 103810 114191 123340 135674 163130 193820 207620 228382 271348 326260 339185 456764 570955 678370 1141910 1306523 1356740 2283820 2613046 5226092 6532615 9145661 13065230 14371753 18291322 26130460 28743506 36582644 45728305 57487012 71858765 91456610 100602271 143717530 182913220 201204542 287435060 402409084 503011355 1006022710 2012045420