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132528033 = 32112121697
BaseRepresentation
bin1111110011000…
…11011110100001
3100020101010021200
413321203132201
5232411344113
621052311413
73166320051
oct771433641
9306333250
10132528033
1168899300
1238472569
13215c2371
141385b561
15b97c873
hex7e637a1

132528033 has 18 divisors (see below), whose sum is σ = 210415842. Its totient is φ = 80319360.

The previous prime is 132528029. The next prime is 132528041. The reversal of 132528033 is 330825231.

132528033 is a `hidden beast` number, since 132 + 528 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117874449 + 14653584 = 10857^2 + 3828^2 .

It is not a de Polignac number, because 132528033 - 22 = 132528029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132527988 and 132528006.

It is not an unprimeable number, because it can be changed into a prime (132528013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59760 + ... + 61937.

It is an arithmetic number, because the mean of its divisors is an integer number (11689769).

Almost surely, 2132528033 is an apocalyptic number.

It is an amenable number.

132528033 is a deficient number, since it is larger than the sum of its proper divisors (77887809).

132528033 is a wasteful number, since it uses less digits than its factorization.

132528033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121725 (or 121711 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132528033 is about 11512.0820445304. The cubic root of 132528033 is about 509.8423618913.

The spelling of 132528033 in words is "one hundred thirty-two million, five hundred twenty-eight thousand, thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 121697 365091 1095273 1338667 4016001 12048003 14725337 44176011 132528033