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2149493780 = 2257214812
BaseRepresentation
bin1000000000011110…
…1010110000010100
312112210122121010202
42000013222300110
513400232300110
6553143040032
7104160252500
oct20007526024
95483577122
102149493780
11a03373545
124bba40018
13283429a15
14165691300
15c8a920a5
hex801eac14

2149493780 has 54 divisors (see below), whose sum is σ = 5254454142. Its totient is φ = 736471680.

The previous prime is 2149493777. The next prime is 2149493803. The reversal of 2149493780 is 873949412.

It can be written as a sum of positive squares in 3 ways, for example, as 131148304 + 2018345476 = 11452^2 + 44926^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1450640 + ... + 1452120.

Almost surely, 22149493780 is an apocalyptic number.

2149493780 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 2149493780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627227071).

2149493780 is an abundant number, since it is smaller than the sum of its proper divisors (3104960362).

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

2149493780 is an equidigital number, since it uses as much as digits as its factorization.

2149493780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 2149493780 is about 46362.6334454806. The cubic root of 2149493780 is about 1290.5615766976.

The spelling of 2149493780 in words is "two billion, one hundred forty-nine million, four hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1481 2962 5924 7405 10367 14810 20734 29620 41468 51835 72569 103670 145138 207340 290276 362845 725690 1451380 2193361 4386722 8773444 10966805 15353527 21933610 30707054 43867220 61414108 76767635 107474689 153535270 214949378 307070540 429898756 537373445 1074746890 2149493780