Search a number
-
+
2104535412 = 2233741431579
BaseRepresentation
bin111110101110000…
…1010100101110100
312102200001110212000
41331130022211310
513302230113122
6544455255300
7103103153520
oct17534124564
95380043760
102104535412
1198aa56671
124a897a530
13277018335
1415d70ad80
15c4b610ac
hex7d70a974

2104535412 has 192 divisors, whose sum is σ = 6540441600. Its totient is φ = 572624640.

The previous prime is 2104535393. The next prime is 2104535429. The reversal of 2104535412 is 2145354012.

2104535412 is a `hidden beast` number, since 210 + 4 + 5 + 35 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1332039 + ... + 1333617.

It is an arithmetic number, because the mean of its divisors is an integer number (34064800).

Almost surely, 22104535412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104535412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270220800).

2104535412 is an abundant number, since it is smaller than the sum of its proper divisors (4435906188).

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

2104535412 is a wasteful number, since it uses less digits than its factorization.

2104535412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2104535412 is about 45875.2156616184. The cubic root of 2104535412 is about 1281.5003995806.

Adding to 2104535412 its reverse (2145354012), we get a palindrome (4249889424).

The spelling of 2104535412 in words is "two billion, one hundred four million, five hundred thirty-five thousand, four hundred twelve".