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2083387940 = 225415943063
BaseRepresentation
bin111110000101101…
…1111101000100100
312101012021001222022
41330023133220210
513231321403230
6542422122312
7102425335214
oct17413375044
95335231868
102083387940
1197a022217
124a1880398
1327282283a
1415a9a4244
15c2d851e5
hex7c2dfa24

2083387940 has 48 divisors (see below), whose sum is σ = 4557893760. Its totient is φ = 799230720.

The previous prime is 2083387939. The next prime is 2083387949. The reversal of 2083387940 is 497833802.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2083387891 and 2083387900.

It is not an unprimeable number, because it can be changed into a prime (2083387949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26849 + ... + 69911.

It is an arithmetic number, because the mean of its divisors is an integer number (94956120).

Almost surely, 22083387940 is an apocalyptic number.

2083387940 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 2083387940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278946880).

2083387940 is an abundant number, since it is smaller than the sum of its proper divisors (2474505820).

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

2083387940 is a wasteful number, since it uses less digits than its factorization.

2083387940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43172 (or 43170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 2083387940 is about 45644.1446409066. The cubic root of 2083387940 is about 1277.1935460528.

The spelling of 2083387940 in words is "two billion, eighty-three million, three hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 43063 48380 86126 172252 215315 430630 861260 1765583 2540717 3531166 5081434 7062332 8827915 10162868 12703585 17655830 25407170 35311660 50814340 104169397 208338794 416677588 520846985 1041693970 2083387940