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142624125 = 335376037
BaseRepresentation
bin10001000000001…
…00010101111101
3100221101001112000
420200010111331
5243002433000
622052532513
73351166530
oct1040042575
9327331460
10142624125
1173564686
123b921139
1323718897
1414d28a17
15c7c4000
hex880457d

142624125 has 64 divisors (see below), whose sum is σ = 301416960. Its totient is φ = 65188800.

The previous prime is 142624121. The next prime is 142624133. The reversal of 142624125 is 521426241.

142624125 is a `hidden beast` number, since 14 + 2 + 624 + 1 + 25 = 666.

It is not a de Polignac number, because 142624125 - 22 = 142624121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142624121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20607 + ... + 26643.

It is an arithmetic number, because the mean of its divisors is an integer number (4709640).

Almost surely, 2142624125 is an apocalyptic number.

142624125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142624125 is an abundant number, since it is smaller than the sum of its proper divisors (158792835).

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

142624125 is an equidigital number, since it uses as much as digits as its factorization.

142624125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 6052 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 142624125 is about 11942.5342787869. The cubic root of 142624125 is about 522.4735760391.

The spelling of 142624125 in words is "one hundred forty-two million, six hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 3375 4725 6037 7875 18111 23625 30185 42259 54333 90555 126777 150925 162999 211295 271665 380331 452775 633885 754625 814995 1056475 1140993 1358325 1901655 2263875 3169425 4074975 5282375 5704965 6791625 9508275 15847125 20374875 28524825 47541375 142624125