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132198 = 23112003
BaseRepresentation
bin100000010001100110
320201100020
4200101212
513212243
62500010
71060263
oct402146
9221306
10132198
1190360
1264606
1348231
143626a
1529283
hex20466

132198 has 16 divisors (see below), whose sum is σ = 288576. Its totient is φ = 40040.

The previous prime is 132173. The next prime is 132199. The reversal of 132198 is 891231.

It is a super-2 number, since 2×1321982 = 34952622408, which contains 22 as substring.

132198 is a modest number, since divided by 198 gives 132 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (18036).

2132198 is an apocalyptic number.

132198 is an abundant number, since it is smaller than the sum of its proper divisors (156378).

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

132198 is a wasteful number, since it uses less digits than its factorization.

132198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its digits is 432, while the sum is 24.

The square root of 132198 is about 363.5904289169. The cubic root of 132198 is about 50.9418791949.

It can be divided in two parts, 13 and 2198, that added together give a triangular number (2211 = T66).

The spelling of 132198 in words is "one hundred thirty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 2003 4006 6009 12018 22033 44066 66099 132198