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132194160 = 24335721249
BaseRepresentation
bin1111110000100…
…01111101110000
3100012202011022000
413320101331300
5232320203120
621041214000
73163426500
oct770217560
9305664260
10132194160
116869047a
1238331300
13215063c7
14137b1a00
15b913990
hex7e11f70

132194160 has 240 divisors, whose sum is σ = 530100000. Its totient is φ = 30191616.

The previous prime is 132194147. The next prime is 132194189. The reversal of 132194160 is 61491231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105216 + ... + 106464.

It is an arithmetic number, because the mean of its divisors is an integer number (2208750).

Almost surely, 2132194160 is an apocalyptic number.

132194160 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 132194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265050000).

132194160 is an abundant number, since it is smaller than the sum of its proper divisors (397905840).

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

132194160 is a wasteful number, since it uses less digits than its factorization.

132194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 132194160 is about 11497.5719175833. The cubic root of 132194160 is about 509.4138594816.

It can be divided in two parts, 1321 and 94160, that added together give a square (95481 = 3092).

The spelling of 132194160 in words is "one hundred thirty-two million, one hundred ninety-four thousand, one hundred sixty".