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2117650640 = 24572540217
BaseRepresentation
bin111111000111000…
…1100100011010000
312110120201210120012
41332032030203100
513314104310030
6550044334052
7103322506400
oct17616144320
95416653505
102117650640
119973a42a6
124b1244328
1327995ab21
14161362800
15c5da2095
hex7e38c8d0

2117650640 has 60 divisors (see below), whose sum is σ = 5727391236. Its totient is φ = 726050304.

The previous prime is 2117650621. The next prime is 2117650651. The reversal of 2117650640 is 460567112.

It can be written as a sum of positive squares in 2 ways, for example, as 946915984 + 1170734656 = 30772^2 + 34216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2117650597 and 2117650606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266189 + ... + 274028.

Almost surely, 22117650640 is an apocalyptic number.

2117650640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117650640 is an abundant number, since it is smaller than the sum of its proper divisors (3609740596).

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

2117650640 is a wasteful number, since it uses less digits than its factorization.

2117650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540244 (or 540231 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2117650640 is about 46017.9382415162. The cubic root of 2117650640 is about 1284.1569442252.

The spelling of 2117650640 in words is "two billion, one hundred seventeen million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 540217 1080434 2160868 2701085 3781519 4321736 5402170 7563038 8643472 10804340 15126076 18907595 21608680 26470633 30252152 37815190 43217360 52941266 60504304 75630380 105882532 132353165 151260760 211765064 264706330 302521520 423530128 529412660 1058825320 2117650640