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2103048640 = 265721189137
BaseRepresentation
bin111110101011001…
…1111100111000000
312102120020221101101
41331112133213000
513301340024030
6544403344144
7103054422100
oct17526374700
95376227341
102103048640
1198a130630
124a8382054
132769176a4
1415d441200
15c496a7ca
hex7d59f9c0

2103048640 has 336 divisors, whose sum is σ = 6473403360. Its totient is φ = 643399680.

The previous prime is 2103048599. The next prime is 2103048641. The reversal of 2103048640 is 468403012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2103048599 and 2103048608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103048641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15350652 + ... + 15350788.

Almost surely, 22103048640 is an apocalyptic number.

2103048640 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 2103048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236701680).

2103048640 is an abundant number, since it is smaller than the sum of its proper divisors (4370354720).

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

2103048640 is a wasteful number, since it uses less digits than its factorization.

2103048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2103048640 is about 45859.0082753650. The cubic root of 2103048640 is about 1281.1985518425.

The spelling of 2103048640 in words is "two billion, one hundred three million, forty-eight thousand, six hundred forty".