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132244000 = 255374723
BaseRepresentation
bin1111110000111…
…10001000100000
3100012211200122221
413320132020200
5232323302000
621042240424
73164025010
oct770361040
9305750587
10132244000
1168714969
1238356114
1321522cb5
14137c5c40
15b92361a
hex7e1e220

132244000 has 96 divisors (see below), whose sum is σ = 371419776. Its totient is φ = 45331200.

The previous prime is 132243977. The next prime is 132244001. The reversal of 132244000 is 442231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132244001) 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, 25639 + ... + 30361.

It is an arithmetic number, because the mean of its divisors is an integer number (3868956).

Almost surely, 2132244000 is an apocalyptic number.

132244000 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 132244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185709888).

132244000 is an abundant number, since it is smaller than the sum of its proper divisors (239175776).

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

132244000 is an equidigital number, since it uses as much as digits as its factorization.

132244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4737 counting only the distinct ones).

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

The square root of 132244000 is about 11499.7391274759. The cubic root of 132244000 is about 509.4778713781.

Adding to 132244000 its reverse (442231), we get a palindrome (132686231).

The spelling of 132244000 in words is "one hundred thirty-two million, two hundred forty-four 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 4723 5600 7000 9446 14000 18892 23615 28000 33061 37784 47230 66122 75568 94460 118075 132244 151136 165305 188920 236150 264488 330610 377840 472300 528976 590375 661220 755680 826525 944600 1057952 1180750 1322440 1653050 1889200 2361500 2644880 3306100 3778400 4132625 4723000 5289760 6612200 8265250 9446000 13224400 16530500 18892000 26448800 33061000 66122000 132244000