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132314200 = 23523121341
BaseRepresentation
bin1111110001011…
…11010001011000
3100012222020221221
413320233101120
5232333023300
621043541424
73164436454
oct770572130
9305866857
10132314200
1168762687
123838a874
1321548c35
1413803664
15b93931a
hex7e2f458

132314200 has 48 divisors (see below), whose sum is σ = 317568960. Its totient is φ = 51216000.

The previous prime is 132314191. The next prime is 132314207. The reversal of 132314200 is 2413231.

It is a happy number.

It is a super-3 number, since 3×1323142003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314207) 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, 4471 + ... + 16870.

It is an arithmetic number, because the mean of its divisors is an integer number (6616020).

Almost surely, 2132314200 is an apocalyptic number.

132314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132314200 is an abundant number, since it is smaller than the sum of its proper divisors (185254760).

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

132314200 is a wasteful number, since it uses less digits than its factorization.

132314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21388 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132314200 is about 11502.7909656744. The cubic root of 132314200 is about 509.5680053222.

Adding to 132314200 its reverse (2413231), we get a palindrome (134727431).

The spelling of 132314200 in words is "one hundred thirty-two million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 21341 42682 85364 106705 170728 213410 426820 533525 661571 853640 1067050 1323142 2134100 2646284 3307855 4268200 5292568 6615710 13231420 16539275 26462840 33078550 66157100 132314200