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2067468740 = 2253128111867
BaseRepresentation
bin111101100111011…
…0001000111000100
312100002022021221022
41323032301013010
513213232444430
6541053010312
7102143123441
oct17316610704
95302267838
102067468740
11971039957
12498483998
1326c43a9ac
1415881c9c8
15c178d4e5
hex7b3b11c4

2067468740 has 48 divisors (see below), whose sum is σ = 4498066944. Its totient is φ = 797395200.

The previous prime is 2067468713. The next prime is 2067468749. The reversal of 2067468740 is 478647602.

It is a junction number, because it is equal to n+sod(n) for n = 2067468691 and 2067468700.

It is not an unprimeable number, because it can be changed into a prime (2067468749) 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, 168287 + ... + 180153.

It is an arithmetic number, because the mean of its divisors is an integer number (93709728).

Almost surely, 22067468740 is an apocalyptic number.

2067468740 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 2067468740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249033472).

2067468740 is an abundant number, since it is smaller than the sum of its proper divisors (2430598204).

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

2067468740 is a wasteful number, since it uses less digits than its factorization.

2067468740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 2067468740 is about 45469.4264313945. The cubic root of 2067468740 is about 1273.9322065910.

The spelling of 2067468740 in words is "two billion, sixty-seven million, four hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 281 310 562 620 1124 1405 2810 5620 8711 11867 17422 23734 34844 43555 47468 59335 87110 118670 174220 237340 367877 735754 1471508 1839385 3334627 3678770 6669254 7357540 13338508 16673135 33346270 66692540 103373437 206746874 413493748 516867185 1033734370 2067468740