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2068397136 = 2432131104913
BaseRepresentation
bin111101101001001…
…0011110001010000
312100011001110110100
41323102103301100
513214002202021
6541124532400
7102154041231
oct17322236120
95304043410
102068397136
11971613423
12498851100
1326c6a4440
141589c1088
15c18c3626
hex7b493c50

2068397136 has 60 divisors (see below), whose sum is σ = 6233924788. Its totient is φ = 636429312.

The previous prime is 2068397119. The next prime is 2068397147. The reversal of 2068397136 is 6317938602.

It can be written as a sum of positive squares in 2 ways, for example, as 366339600 + 1702057536 = 19140^2 + 41256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2068397091 and 2068397100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550585 + ... + 554328.

Almost surely, 22068397136 is an apocalyptic number.

2068397136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2068397136 is an abundant number, since it is smaller than the sum of its proper divisors (4165527652).

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

2068397136 is a wasteful number, since it uses less digits than its factorization.

2068397136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104940 (or 1104931 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2068397136 is about 45479.6342993213. The cubic root of 2068397136 is about 1274.1228643026.

The spelling of 2068397136 in words is "two billion, sixty-eight million, three hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1104913 2209826 3314739 4419652 6629478 8839304 9944217 13258956 14363869 17678608 19888434 26517912 28727738 39776868 43091607 53035824 57455476 79553736 86183214 114910952 129274821 159107472 172366428 229821904 258549642 344732856 517099284 689465712 1034198568 2068397136