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114085083 = 3722341823
BaseRepresentation
bin1101100110011…
…00110011011011
321221200010022110
412303030303123
5213201210313
615153123403
72553464400
oct663146333
9257603273
10114085083
11594418a2
1232259563
131a835888
141121a2a7
15a037ec3
hex6ccccdb

114085083 has 48 divisors (see below), whose sum is σ = 189374976. Its totient is φ = 60762240.

The previous prime is 114085061. The next prime is 114085087. The reversal of 114085083 is 380580411.

It is not a de Polignac number, because 114085083 - 25 = 114085051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114085083.

It is not an unprimeable number, because it can be changed into a prime (114085087) 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, 138210 + ... + 139032.

It is an arithmetic number, because the mean of its divisors is an integer number (3945312).

Almost surely, 2114085083 is an apocalyptic number.

114085083 is a deficient number, since it is larger than the sum of its proper divisors (75289893).

114085083 is a wasteful number, since it uses less digits than its factorization.

114085083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114085083 is about 10681.0618854120. The cubic root of 114085083 is about 485.0013575617.

The spelling of 114085083 in words is "one hundred fourteen million, eighty-five thousand, eighty-three".

Divisors: 1 3 7 21 23 41 49 69 123 147 161 287 483 823 861 943 1127 2009 2469 2829 3381 5761 6027 6601 17283 18929 19803 33743 40327 46207 56787 101229 120981 132503 138621 236201 397509 708603 776089 927521 1653407 2328267 2782563 4960221 5432623 16297869 38028361 114085083