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132044200 = 23525312457
BaseRepresentation
bin1111101111011…
…01010110101000
3100012110112120221
413313231112220
5232300403300
621034055424
73162233341
oct767552650
9305415527
10132044200
1168598842
123827a574
1321483082
14137730c8
15b8d431a
hex7ded5a8

132044200 has 48 divisors (see below), whose sum is σ = 312820380. Its totient is φ = 51816960.

The previous prime is 132044191. The next prime is 132044233. The reversal of 132044200 is 2440231.

It can be written as a sum of positive squares in 6 ways, for example, as 85340644 + 46703556 = 9238^2 + 6834^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4372 + ... + 16828.

Almost surely, 2132044200 is an apocalyptic number.

132044200 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 132044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156410190).

132044200 is an abundant number, since it is smaller than the sum of its proper divisors (180776180).

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

132044200 is a wasteful number, since it uses less digits than its factorization.

132044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132044200 is about 11491.0486901762. The cubic root of 132044200 is about 509.2211615928.

Adding to 132044200 its reverse (2440231), we get a palindrome (134484431).

The spelling of 132044200 in words is "one hundred thirty-two million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 12457 24914 49828 62285 99656 124570 249140 311425 498280 622850 660221 1245700 1320442 2491400 2640884 3301105 5281768 6602210 13204420 16505525 26408840 33011050 66022100 132044200