Search a number
-
+
2103884640 = 25325111317601
BaseRepresentation
bin111110101100110…
…1011101101100000
312102121211102011100
41331121223231200
513302043302030
6544433314400
7103064503314
oct17531535540
95377742140
102103884640
1198a651740
124a8705a00
13276b4b070
1415d5bbb44
15c4a83360
hex7d66bb60

2103884640 has 576 divisors, whose sum is σ = 8945681472. Its totient is φ = 442368000.

The previous prime is 2103884633. The next prime is 2103884647. The reversal of 2103884640 is 464883012.

2103884640 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 8 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2103884633) and next prime (2103884647).

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

It is a junction number, because it is equal to n+sod(n) for n = 2103884595 and 2103884604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103884647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500340 + ... + 3500940.

It is an arithmetic number, because the mean of its divisors is an integer number (15530697).

Almost surely, 22103884640 is an apocalyptic number.

2103884640 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 2103884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472840736).

2103884640 is an abundant number, since it is smaller than the sum of its proper divisors (6841796832).

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

2103884640 is a wasteful number, since it uses less digits than its factorization.

2103884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2103884640 is about 45868.1222637247. The cubic root of 2103884640 is about 1281.3682959108.

The spelling of 2103884640 in words is "two billion, one hundred three million, eight hundred eighty-four thousand, six hundred forty".