Search a number
-
+
2103655680 = 283257191373
BaseRepresentation
bin111110101100011…
…0011110100000000
312102121101210002100
41331120303310000
513302013440210
6544424350400
7103062530640
oct17530636400
95377353070
102103655680
1198a505715
124a8615400
13276a9aa99
1415d55c520
15c4a3a5c0
hex7d633d00

2103655680 has 432 divisors, whose sum is σ = 8762382720. Its totient is φ = 455196672.

The previous prime is 2103655649. The next prime is 2103655703. The reversal of 2103655680 is 865563012.

2103655680 is a `hidden beast` number, since 21 + 0 + 3 + 6 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1531474 + ... + 1532846.

Almost surely, 22103655680 is an apocalyptic number.

2103655680 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 2103655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381191360).

2103655680 is an abundant number, since it is smaller than the sum of its proper divisors (6658727040).

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

2103655680 is a wasteful number, since it uses less digits than its factorization.

2103655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2103655680 is about 45865.6263447912. The cubic root of 2103655680 is about 1281.3218116244.

The spelling of 2103655680 in words is "two billion, one hundred three million, six hundred fifty-five thousand, six hundred eighty".