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10027149 = 3112231201
BaseRepresentation
bin100110010000…
…000010001101
3200212102122220
4212100002031
510031332044
6554525553
7151141446
oct46200215
920772586
1010027149
115729600
1234368b9
132101032
1414902cd
15d31019
hex99008d

10027149 has 24 divisors (see below), whose sum is σ = 15347136. Its totient is φ = 5808000.

The previous prime is 10027141. The next prime is 10027151. The reversal of 10027149 is 94172001.

It is not a de Polignac number, because 10027149 - 23 = 10027141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7749 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (639464).

Almost surely, 210027149 is an apocalyptic number.

It is an amenable number.

10027149 is a deficient number, since it is larger than the sum of its proper divisors (5319987).

10027149 is a wasteful number, since it uses less digits than its factorization.

10027149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10027149 is about 3166.5673844085. The cubic root of 10027149 is about 215.6382619862.

The spelling of 10027149 in words is "ten million, twenty-seven thousand, one hundred forty-nine".

Divisors: 1 3 11 23 33 69 121 253 363 759 1201 2783 3603 8349 13211 27623 39633 82869 145321 303853 435963 911559 3342383 10027149