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132535032 = 23371941521
BaseRepresentation
bin1111110011001…
…01001011111000
3100020101110212220
413321211023320
5232412110112
621052404040
73166346340
oct771451370
9306343786
10132535032
11688a3593
1238476620
13215c55c6
141385dd20
15b97e98c
hex7e652f8

132535032 has 64 divisors (see below), whose sum is σ = 398611200. Its totient is φ = 35873280.

The previous prime is 132535031. The next prime is 132535037. The reversal of 132535032 is 230535231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132534993 and 132535011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132535031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17569 + ... + 23952.

It is an arithmetic number, because the mean of its divisors is an integer number (6228300).

Almost surely, 2132535032 is an apocalyptic number.

132535032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132535032 is an abundant number, since it is smaller than the sum of its proper divisors (266076168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132535032 is a wasteful number, since it uses less digits than its factorization.

132535032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41556 (or 41552 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 132535032 is about 11512.3860254945. The cubic root of 132535032 is about 509.8513369078.

The spelling of 132535032 in words is "one hundred thirty-two million, five hundred thirty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 41521 83042 124563 166084 249126 290647 332168 498252 581294 788899 871941 996504 1162588 1577798 1743882 2325176 2366697 3155596 3487764 4733394 5522293 6311192 6975528 9466788 11044586 16566879 18933576 22089172 33133758 44178344 66267516 132535032