Base | Representation |
---|---|
bin | 1111110011101… |
… | …00010110001111 |
3 | 100020111122002000 |
4 | 13321310112033 |
5 | 232421102020 |
6 | 21054003343 |
7 | 3200025366 |
oct | 771642617 |
9 | 306448060 |
10 | 132597135 |
11 | 68936210 |
12 | 384a6553 |
13 | 21617958 |
14 | 138787dd |
15 | b993090 |
hex | 7e7458f |
132597135 has 64 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 62052480.
The previous prime is 132597133. The next prime is 132597151. The reversal of 132597135 is 531795231.
132597135 is a `hidden beast` number, since 1 + 32 + 597 + 1 + 35 = 666.
It is not a de Polignac number, because 132597135 - 21 = 132597133 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 132597135.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132597133) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41526 + ... + 44604.
It is an arithmetic number, because the mean of its divisors is an integer number (4158000).
Almost surely, 2132597135 is an apocalyptic number.
132597135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
132597135 is an abundant number, since it is smaller than the sum of its proper divisors (133514865).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132597135 is a wasteful number, since it uses less digits than its factorization.
132597135 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3133 (or 3127 counting only the distinct ones).
The product of its digits is 28350, while the sum is 36.
The square root of 132597135 is about 11515.0829350031. The cubic root of 132597135 is about 509.9309595123.
It can be divided in two parts, 1325971 and 35, that added together give a triangular number (1326006 = T1628).
The spelling of 132597135 in words is "one hundred thirty-two million, five hundred ninety-seven thousand, one hundred thirty-five".
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