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132140200 = 23524631427
BaseRepresentation
bin1111110000001…
…00110010101000
3100012122102021111
413320010302220
5232311441300
621040120104
73163113253
oct770046250
9305572244
10132140200
1168653985
1238306034
13214b798a
141379a09a
15b9029ba
hex7e04ca8

132140200 has 48 divisors (see below), whose sum is σ = 308105280. Its totient is φ = 52704960.

The previous prime is 132140143. The next prime is 132140207. The reversal of 132140200 is 2041231.

It is a super-2 number, since 2×1321402002 = 34922064912080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132140207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91887 + ... + 93313.

It is an arithmetic number, because the mean of its divisors is an integer number (6418860).

Almost surely, 2132140200 is an apocalyptic number.

132140200 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 132140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154052640).

132140200 is an abundant number, since it is smaller than the sum of its proper divisors (175965080).

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

132140200 is a wasteful number, since it uses less digits than its factorization.

132140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 132140200 is about 11495.2250956647. The cubic root of 132140200 is about 509.3445379302.

Adding to 132140200 its reverse (2041231), we get a palindrome (134181431).

The spelling of 132140200 in words is "one hundred thirty-two million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 463 926 1427 1852 2315 2854 3704 4630 5708 7135 9260 11416 11575 14270 18520 23150 28540 35675 46300 57080 71350 92600 142700 285400 660701 1321402 2642804 3303505 5285608 6607010 13214020 16517525 26428040 33035050 66070100 132140200