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2103408340 = 2251128271051
BaseRepresentation
bin111110101011111…
…0111011011010100
312102120221012210121
41331113313123110
513301433031330
6544415201324
7103060450555
oct17527673324
95376835717
102103408340
1198a356900
124a8516244
13276a12327
1415d4d632c
15c49dc17a
hex7d5f76d4

2103408340 has 72 divisors (see below), whose sum is σ = 4865718816. Its totient is φ = 763224000.

The previous prime is 2103408337. The next prime is 2103408341. The reversal of 2103408340 is 438043012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103408341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000815 + ... + 2001865.

It is an arithmetic number, because the mean of its divisors is an integer number (67579428).

Almost surely, 22103408340 is an apocalyptic number.

2103408340 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 2103408340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432859408).

2103408340 is an abundant number, since it is smaller than the sum of its proper divisors (2762310476).

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

2103408340 is a wasteful number, since it uses less digits than its factorization.

2103408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2103408340 is about 45862.9299107678. The cubic root of 2103408340 is about 1281.2715919740.

The spelling of 2103408340 in words is "two billion, one hundred three million, four hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 827 1051 1210 1654 2102 2420 3308 4135 4204 5255 8270 9097 10510 11561 16540 18194 21020 23122 36388 45485 46244 57805 90970 100067 115610 127171 181940 200134 231220 254342 400268 500335 508684 635855 869177 1000670 1271710 1738354 2001340 2543420 3476708 4345885 8691770 9560947 17383540 19121894 38243788 47804735 95609470 105170417 191218940 210340834 420681668 525852085 1051704170 2103408340