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114679125 = 3353113089
BaseRepresentation
bin1101101010111…
…01110101010101
321222210022012000
412311131311111
5213324213000
615213545513
72561520321
oct665356525
9258708160
10114679125
1159808140
12324a5299
131a9b3092
1411332981
15a104000
hex6d5dd55

114679125 has 64 divisors (see below), whose sum is σ = 231379200. Its totient is φ = 55584000.

The previous prime is 114679111. The next prime is 114679141. The reversal of 114679125 is 521976411.

It is not a de Polignac number, because 114679125 - 24 = 114679109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114679125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35581 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (3615300).

Almost surely, 2114679125 is an apocalyptic number.

114679125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114679125 is an abundant number, since it is smaller than the sum of its proper divisors (116700075).

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

114679125 is a wasteful number, since it uses less digits than its factorization.

114679125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3108 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 114679125 is about 10708.8339701389. The cubic root of 114679125 is about 485.8417027516.

The spelling of 114679125 in words is "one hundred fourteen million, six hundred seventy-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 225 275 297 375 495 675 825 1125 1375 1485 2475 3089 3375 4125 7425 9267 12375 15445 27801 33979 37125 46335 77225 83403 101937 139005 169895 231675 305811 386125 417015 509685 695025 849475 917433 1158375 1529055 2085075 2548425 3475125 4247375 4587165 7645275 10425375 12742125 22935825 38226375 114679125