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132535044 = 2232311031153
BaseRepresentation
bin1111110011001…
…01001100000100
3100020101110220100
413321211030010
5232412110134
621052404100
73166346355
oct771451404
9306343810
10132535044
11688a35a4
1238476630
13215c5605
141385dd2c
15b97e999
hex7e65304

132535044 has 72 divisors (see below), whose sum is σ = 349486592. Its totient is φ = 42301440.

The previous prime is 132535037. The next prime is 132535057. The reversal of 132535044 is 440535231.

It is a junction number, because it is equal to n+sod(n) for n = 132534999 and 132535017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114372 + ... + 115524.

Almost surely, 2132535044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132535044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174743296).

132535044 is an abundant number, since it is smaller than the sum of its proper divisors (216951548).

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

132535044 is a wasteful number, since it uses less digits than its factorization.

132535044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 132535044 is about 11512.3865466722. The cubic root of 132535044 is about 509.8513522955.

The spelling of 132535044 in words is "one hundred thirty-two million, five hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 103 124 186 206 279 309 372 412 558 618 927 1116 1153 1236 1854 2306 3193 3459 3708 4612 6386 6918 9579 10377 12772 13836 19158 20754 28737 35743 38316 41508 57474 71486 107229 114948 118759 142972 214458 237518 321687 356277 428916 475036 643374 712554 1068831 1286748 1425108 2137662 3681529 4275324 7363058 11044587 14726116 22089174 33133761 44178348 66267522 132535044