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114288135 = 351319109283
BaseRepresentation
bin1101100111111…
…10011000000111
321222001102211220
412303332120013
5213224210020
615201331423
72555301363
oct663763007
9258042756
10114288135
1159570405
1232336b73
131a8a7120
14112702a3
15a078240
hex6cfe607

114288135 has 64 divisors (see below), whose sum is σ = 209932800. Its totient is φ = 52627968.

The previous prime is 114288107. The next prime is 114288149. The reversal of 114288135 is 531882411.

It is not a de Polignac number, because 114288135 - 26 = 114288071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114288096 and 114288105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403704 + ... + 403986.

It is an arithmetic number, because the mean of its divisors is an integer number (3280200).

Almost surely, 2114288135 is an apocalyptic number.

114288135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114288135 is a deficient number, since it is larger than the sum of its proper divisors (95644665).

114288135 is a wasteful number, since it uses less digits than its factorization.

114288135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 7680, while the sum is 33.

The square root of 114288135 is about 10690.5628944411. The cubic root of 114288135 is about 485.2889269342.

The spelling of 114288135 in words is "one hundred fourteen million, two hundred eighty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 109 195 247 283 285 327 545 741 849 1235 1415 1417 1635 2071 3679 3705 4245 4251 5377 6213 7085 10355 11037 16131 18395 21255 26885 26923 30847 31065 55185 69901 80655 80769 92541 134615 154235 209703 349505 401011 403845 462705 586093 1048515 1203033 1758279 2005055 2930465 6015165 7619209 8791395 22857627 38096045 114288135