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12529153 = 721321789
BaseRepresentation
bin101111110010…
…111000000001
3212120112202201
4233302320001
511201413103
61124313201
7211332100
oct57627001
925515681
1012529153
11708837a
124242801
132798b00
141942037
15117751d
hexbf2e01

12529153 has 36 divisors (see below), whose sum is σ = 16898220. Its totient is φ = 9225216.

The previous prime is 12529117. The next prime is 12529159. The reversal of 12529153 is 35192521.

12529153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1979649 + 10549504 = 1407^2 + 3248^2 .

It is not a de Polignac number, because 12529153 - 29 = 12528641 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12529159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140733 + ... + 140821.

It is an arithmetic number, because the mean of its divisors is an integer number (469395).

Almost surely, 212529153 is an apocalyptic number.

12529153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12529153 is a deficient number, since it is larger than the sum of its proper divisors (4369067).

12529153 is a wasteful number, since it uses less digits than its factorization.

12529153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 12529153 is about 3539.6543616574. The cubic root of 12529153 is about 232.2597232522.

The spelling of 12529153 in words is "twelve million, five hundred twenty-nine thousand, one hundred fifty-three".

Divisors: 1 7 13 17 49 89 91 119 169 221 623 637 833 1157 1183 1513 1547 2873 4361 8099 8281 10591 10829 15041 19669 20111 56693 74137 105287 137683 140777 255697 737009 963781 1789879 12529153