Search a number
-
+
2069679040 = 2651113311459
BaseRepresentation
bin111101101011100…
…1100101111000000
312100020110120220021
41323113030233000
513214314212130
6541212223224
7102200660452
oct17327145700
95306416807
102069679040
11972309550
1249916ab14
1326ca32a70
14158c362d2
15c1a7837a
hex7b5ccbc0

2069679040 has 224 divisors, whose sum is σ = 5980907520. Its totient is φ = 671846400.

The previous prime is 2069679037. The next prime is 2069679049. The reversal of 2069679040 is 409769602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069679049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417831 + ... + 1419289.

It is an arithmetic number, because the mean of its divisors is an integer number (26700480).

Almost surely, 22069679040 is an apocalyptic number.

2069679040 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 2069679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990453760).

2069679040 is an abundant number, since it is smaller than the sum of its proper divisors (3911228480).

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

2069679040 is a wasteful number, since it uses less digits than its factorization.

2069679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 2069679040 is about 45493.7252816254. The cubic root of 2069679040 is about 1274.3860255475.

The spelling of 2069679040 in words is "two billion, sixty-nine million, six hundred seventy-nine thousand, forty".