Search a number
-
+
2103043540 = 2251335922531
BaseRepresentation
bin111110101011001…
…1110010111010100
312102120020200101111
41331112132113110
513301334343130
6544403304404
7103054401163
oct17526362724
95376220344
102103043540
1198a127814
124a837b104
13276915280
1415d43d3da
15c496902a
hex7d59e5d4

2103043540 has 48 divisors (see below), whose sum is σ = 4769573760. Its totient is φ = 774311040.

The previous prime is 2103043511. The next prime is 2103043559. The reversal of 2103043540 is 453403012.

It is a super-2 number, since 2×21030435402 = 8845584262271463200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82075 + ... + 104605.

It is an arithmetic number, because the mean of its divisors is an integer number (99366120).

Almost surely, 22103043540 is an apocalyptic number.

2103043540 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 2103043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384786880).

2103043540 is an abundant number, since it is smaller than the sum of its proper divisors (2666530220).

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

2103043540 is a wasteful number, since it uses less digits than its factorization.

2103043540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22912 (or 22910 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2103043540 is about 45858.9526701167. The cubic root of 2103043540 is about 1281.1975161845.

Adding to 2103043540 its reverse (453403012), we get a palindrome (2556446552).

The spelling of 2103043540 in words is "two billion, one hundred three million, forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 359 718 1436 1795 3590 4667 7180 9334 18668 22531 23335 45062 46670 90124 93340 112655 225310 292903 450620 585806 1171612 1464515 2929030 5858060 8088629 16177258 32354516 40443145 80886290 105152177 161772580 210304354 420608708 525760885 1051521770 2103043540