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2040103240 = 235724392371
BaseRepresentation
bin111100110011001…
…1000000101001000
312021011210222112021
41321212120011020
513134231300430
6534234254224
7101361406600
oct17146300510
95234728467
102040103240
1195764883a
1248b287374
13266878ba6
14154d37c00
15be18507a
hex79998148

2040103240 has 96 divisors (see below), whose sum is σ = 5354078400. Its totient is φ = 697576320.

The previous prime is 2040103213. The next prime is 2040103249. The reversal of 2040103240 is 423010402.

It is not an unprimeable number, because it can be changed into a prime (2040103249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859255 + ... + 861625.

It is an arithmetic number, because the mean of its divisors is an integer number (55771650).

Almost surely, 22040103240 is an apocalyptic number.

2040103240 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 2040103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677039200).

2040103240 is an abundant number, since it is smaller than the sum of its proper divisors (3313975160).

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

2040103240 is a wasteful number, since it uses less digits than its factorization.

2040103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2040103240 is about 45167.5020340953. The cubic root of 2040103240 is about 1268.2865354372.

Adding to 2040103240 its reverse (423010402), we get a palindrome (2463113642).

The spelling of 2040103240 in words is "two billion, forty million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 439 490 878 980 1756 1960 2195 2371 3073 3512 4390 4742 6146 8780 9484 11855 12292 15365 16597 17560 18968 21511 23710 24584 30730 33194 43022 47420 61460 66388 82985 86044 94840 107555 116179 122920 132776 165970 172088 215110 232358 331940 430220 464716 580895 663880 860440 929432 1040869 1161790 2081738 2323580 4163476 4647160 5204345 7286083 8326952 10408690 14572166 20817380 29144332 36430415 41634760 51002581 58288664 72860830 102005162 145721660 204010324 255012905 291443320 408020648 510025810 1020051620 2040103240