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132025300 = 225211196317
BaseRepresentation
bin1111101111010…
…00101111010100
3100012102120122221
413313220233110
5232244302200
621033432124
73162124261
oct767505724
9305376587
10132025300
1168585620
123826b644
13214775a4
141376a268
15b8cd91a
hex7de8bd4

132025300 has 72 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 45475200.

The previous prime is 132025291. The next prime is 132025301. The reversal of 132025300 is 3520231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132025301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17742 + ... + 24058.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2132025300 is an apocalyptic number.

132025300 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 132025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

132025300 is an abundant number, since it is smaller than the sum of its proper divisors (197016140).

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

132025300 is a wasteful number, since it uses less digits than its factorization.

132025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 132025300 is about 11490.2262814968. The cubic root of 132025300 is about 509.1968648316.

Adding to 132025300 its reverse (3520231), we get a palindrome (135545531).

The spelling of 132025300 in words is "one hundred thirty-two million, twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 6317 10450 12634 20900 25268 31585 63170 69487 120023 126340 138974 157925 240046 277948 315850 347435 480092 600115 631700 694870 1200230 1320253 1389740 1737175 2400460 2640506 3000575 3474350 5281012 6001150 6601265 6948700 12002300 13202530 26405060 33006325 66012650 132025300