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83430105 = 35112431069
BaseRepresentation
bin1001111100100…
…00101011011001
312210222200120220
410332100223121
5132324230410
612140110253
72032100313
oct476205331
9183880526
1083430105
1143104300
1223b35389
1314391735
14b11a7b3
1574d0070
hex4f90ad9

83430105 has 48 divisors (see below), whose sum is σ = 150279360. Its totient is φ = 39473280.

The previous prime is 83430097. The next prime is 83430107. The reversal of 83430105 is 50103438.

It is not a de Polignac number, because 83430105 - 23 = 83430097 is a prime.

It is a super-2 number, since 2×834301052 = 13921164840622050, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83430107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77511 + ... + 78579.

It is an arithmetic number, because the mean of its divisors is an integer number (3130820).

Almost surely, 283430105 is an apocalyptic number.

It is an amenable number.

83430105 is a deficient number, since it is larger than the sum of its proper divisors (66849255).

83430105 is a wasteful number, since it uses less digits than its factorization.

83430105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 83430105 is about 9134.0081563353. The cubic root of 83430105 is about 436.9592426385.

The spelling of 83430105 in words is "eighty-three million, four hundred thirty thousand, one hundred five".

Divisors: 1 3 5 11 15 33 43 55 121 129 165 215 363 473 605 645 1069 1419 1815 2365 3207 5203 5345 7095 11759 15609 16035 26015 35277 45967 58795 78045 129349 137901 176385 229835 388047 505637 646745 689505 1516911 1940235 2528185 5562007 7584555 16686021 27810035 83430105