Search a number
-
+
2139330336 = 2531121331457
BaseRepresentation
bin111111110000011…
…1001011100100000
312112002112020111220
41333200321130200
513340132032321
6552141135040
7104005002453
oct17740713440
95462466456
102139330336
119a8661600
124b855a480
132812ab950
141641a749a
15c7c359c6
hex7f839720

2139330336 has 288 divisors, whose sum is σ = 6876946944. Its totient is φ = 577843200.

The previous prime is 2139330317. The next prime is 2139330341. The reversal of 2139330336 is 6330339312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2139330297 and 2139330306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4681020 + ... + 4681476.

It is an arithmetic number, because the mean of its divisors is an integer number (23878288).

Almost surely, 22139330336 is an apocalyptic number.

2139330336 is a gapful number since it is divisible by the number (26) 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 2139330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438473472).

2139330336 is an abundant number, since it is smaller than the sum of its proper divisors (4737616608).

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

2139330336 is a wasteful number, since it uses less digits than its factorization.

2139330336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 33.

The square root of 2139330336 is about 46252.8954336915. The cubic root of 2139330336 is about 1288.5243097696.

Adding to 2139330336 its reverse (6330339312), we get a palindrome (8469669648).

The spelling of 2139330336 in words is "two billion, one hundred thirty-nine million, three hundred thirty thousand, three hundred thirty-six".