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132897360 = 24351573527
BaseRepresentation
bin1111110101111…
…01101001010000
3100021001212220110
413322331221100
5233010203420
621104241320
73202415601
oct772755120
9307055813
10132897360
1169020832
1238610240
13216c14bb
1413915da8
15ba01ee0
hex7ebda50

132897360 has 80 divisors (see below), whose sum is σ = 414723456. Its totient is φ = 35203584.

The previous prime is 132897353. The next prime is 132897361. The reversal of 132897360 is 63798231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132897361) 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, 35917 + ... + 39443.

Almost surely, 2132897360 is an apocalyptic number.

132897360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132897360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207361728).

132897360 is an abundant number, since it is smaller than the sum of its proper divisors (281826096).

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

132897360 is a wasteful number, since it uses less digits than its factorization.

132897360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 132897360 is about 11528.1117274253. Note that the first 3 decimals coincide. The cubic root of 132897360 is about 510.3155294676.

The spelling of 132897360 in words is "one hundred thirty-two million, eight hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3527 3768 4710 6280 7054 7536 9420 10581 12560 14108 17635 18840 21162 28216 35270 37680 42324 52905 56432 70540 84648 105810 141080 169296 211620 282160 423240 553739 846480 1107478 1661217 2214956 2768695 3322434 4429912 5537390 6644868 8306085 8859824 11074780 13289736 16612170 22149560 26579472 33224340 44299120 66448680 132897360