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2040400212 = 2232910953791
BaseRepresentation
bin111100110011110…
…0000100101010100
312021012101001220020
41321213200211110
513134320301322
6534244505140
7101364054444
oct17147404524
95235331806
102040400212
11957830974
1248b3ab1b0
13266951106
14154db4124
15be1e305c
hex799e0954

2040400212 has 48 divisors (see below), whose sum is σ = 4970380800. Its totient is φ = 650643840.

The previous prime is 2040400199. The next prime is 2040400217. The reversal of 2040400212 is 2120040402.

It is a junction number, because it is equal to n+sod(n) for n = 2040400191 and 2040400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040400217) 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, 11037 + ... + 64827.

It is an arithmetic number, because the mean of its divisors is an integer number (103549600).

Almost surely, 22040400212 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 2040400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485190400).

2040400212 is an abundant number, since it is smaller than the sum of its proper divisors (2929980588).

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

2040400212 is a wasteful number, since it uses less digits than its factorization.

2040400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53936 (or 53934 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2040400212 is about 45170.7893665807. The cubic root of 2040400212 is about 1268.3480727338.

Adding to 2040400212 its reverse (2120040402), we get a palindrome (4160440614).

The spelling of 2040400212 in words is "two billion, forty million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1308 3161 6322 9483 12644 18966 37932 53791 107582 161373 215164 322746 645492 1559939 3119878 4679817 5863219 6239756 9359634 11726438 17589657 18719268 23452876 35179314 70358628 170033351 340066702 510100053 680133404 1020200106 2040400212