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138997053 = 3413132001
BaseRepresentation
bin10000100100011…
…10110100111101
3100200112210010000
420102032310331
5241040401203
621443104513
73305312136
oct1022166475
9320483100
10138997053
11715075a8
123a672139
1322a489a0
1414662c8d
15c3094a3
hex848ed3d

138997053 has 20 divisors (see below), whose sum is σ = 223611388. Its totient is φ = 85536000.

The previous prime is 138997051. The next prime is 138997057. The reversal of 138997053 is 350799831.

It is a happy number.

138997053 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 2 ways, for example, as 78110244 + 60886809 = 8838^2 + 7803^2 .

It is not a de Polignac number, because 138997053 - 21 = 138997051 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138997051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64948 + ... + 67053.

Almost surely, 2138997053 is an apocalyptic number.

138997053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138997053 is a deficient number, since it is larger than the sum of its proper divisors (84614335).

138997053 is a wasteful number, since it uses less digits than its factorization.

138997053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132026 (or 132017 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 138997053 is about 11789.7011412504. The cubic root of 138997053 is about 518.0064858587.

The spelling of 138997053 in words is "one hundred thirty-eight million, nine hundred ninety-seven thousand, fifty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 132001 396003 1188009 1716013 3564027 5148039 10692081 15444117 46332351 138997053