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132545224 = 2377332423
BaseRepresentation
bin1111110011001…
…11101011001000
3100020101222212101
413321213223020
5232412421344
621052523144
73166421140
oct771475310
9306358771
10132545224
1168900209
12384804b4
13215ca136
1413863920
15b9829d4
hex7e67ac8

132545224 has 32 divisors (see below), whose sum is σ = 287925120. Its totient is φ = 56025216.

The previous prime is 132545219. The next prime is 132545227. The reversal of 132545224 is 422545231.

132545224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132545192 and 132545201.

It is not an unprimeable number, because it can be changed into a prime (132545227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12124 + ... + 20299.

It is an arithmetic number, because the mean of its divisors is an integer number (8997660).

Almost surely, 2132545224 is an apocalyptic number.

132545224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132545224 is an abundant number, since it is smaller than the sum of its proper divisors (155379896).

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

132545224 is a wasteful number, since it uses less digits than its factorization.

132545224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32509 (or 32505 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 132545224 is about 11512.8286706613. The cubic root of 132545224 is about 509.8644058340.

The spelling of 132545224 in words is "one hundred thirty-two million, five hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 32423 64846 129692 226961 259384 453922 907844 1815688 2366879 4733758 9467516 16568153 18935032 33136306 66272612 132545224