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114360126 = 2319712199
BaseRepresentation
bin1101101000011…
…11111100111110
321222012002121020
412310033330332
5213234011001
615203045010
72556021306
oct664177476
9258162536
10114360126
115960a501
1232370766
131a900b1a
141128c606
15a08e736
hex6d0ff3e

114360126 has 48 divisors (see below), whose sum is σ = 245424000. Its totient is φ = 35426160.

The previous prime is 114360109. The next prime is 114360133. The reversal of 114360126 is 621063411.

114360126 is a nontrivial binomial coefficient, being equal to C(15124, 2).

It is a junction number, because it is equal to n+sod(n) for n = 114360096 and 114360105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574575 + ... + 574773.

It is an arithmetic number, because the mean of its divisors is an integer number (5113000).

Almost surely, 2114360126 is an apocalyptic number.

114360126 is the 15123-rd triangular number and also the 7562-nd hexagonal number.

114360126 is an abundant number, since it is smaller than the sum of its proper divisors (131063874).

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

114360126 is a wasteful number, since it uses less digits than its factorization.

114360126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114360126 is about 10693.9293994303. The cubic root of 114360126 is about 485.3908013242.

The spelling of 114360126 in words is "one hundred fourteen million, three hundred sixty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 19 38 57 71 114 142 199 213 398 426 597 1194 1349 2698 3781 4047 5041 7562 8094 10082 11343 14129 15123 22686 28258 30246 42387 84774 95779 191558 268451 287337 536902 574674 805353 1003159 1610706 2006318 3009477 6018954 19060021 38120042 57180063 114360126