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4006125 = 33531187
BaseRepresentation
bin1111010010000011101101
321112112101000
433102003231
52011144000
6221510513
746023444
oct17220355
97475330
104006125
112296952
121412439
13aa35b6
14763d5b
15542000
hex3d20ed

4006125 has 32 divisors (see below), whose sum is σ = 7413120. Its totient is φ = 2134800.

The previous prime is 4006109. The next prime is 4006129. The reversal of 4006125 is 5216004.

It is a happy number.

It is not a de Polignac number, because 4006125 - 24 = 4006109 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4006098 and 4006107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 24006125 is an apocalyptic number.

4006125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4006125 is a deficient number, since it is larger than the sum of its proper divisors (3406995).

4006125 is a wasteful number, since it uses less digits than its factorization.

4006125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4006125 is about 2001.5306642667. The cubic root of 4006125 is about 158.8210874715.

The spelling of 4006125 in words is "four million, six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 1187 3375 3561 5935 10683 17805 29675 32049 53415 89025 148375 160245 267075 445125 801225 1335375 4006125