Search a number
-
+
132188000 = 255374721
BaseRepresentation
bin1111110000100…
…00011101100000
3100012201211211212
413320100131200
5232320004000
621041125252
73163402520
oct770203540
9305654755
10132188000
116868688a
1238329828
1321503669
14137ad680
15b911c35
hex7e10760

132188000 has 96 divisors (see below), whose sum is σ = 371262528. Its totient is φ = 45312000.

The previous prime is 132187981. The next prime is 132188009. The reversal of 132188000 is 881231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132188009) 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, 25640 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (3867318).

Almost surely, 2132188000 is an apocalyptic number.

132188000 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 132188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185631264).

132188000 is an abundant number, since it is smaller than the sum of its proper divisors (239074528).

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

132188000 is an equidigital number, since it uses as much as digits as its factorization.

132188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 132188000 is about 11497.3040318155. The cubic root of 132188000 is about 509.4059467818.

The spelling of 132188000 in words is "one hundred thirty-two million, one hundred eighty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 4721 5600 7000 9442 14000 18884 23605 28000 33047 37768 47210 66094 75536 94420 118025 132188 151072 165235 188840 236050 264376 330470 377680 472100 528752 590125 660940 755360 826175 944200 1057504 1180250 1321880 1652350 1888400 2360500 2643760 3304700 3776800 4130875 4721000 5287520 6609400 8261750 9442000 13218800 16523500 18884000 26437600 33047000 66094000 132188000