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132334000 = 2453127521
BaseRepresentation
bin1111110001101…
…00000110110000
3100020000021010021
413320310012300
5232334142000
621044213224
73164551261
oct770640660
9306007107
10132334000
1168776547
123839a214
1321554c56
141380a968
15b94011a
hex7e341b0

132334000 has 80 divisors (see below), whose sum is σ = 323122176. Its totient is φ = 52416000.

The previous prime is 132333979. The next prime is 132334003. The reversal of 132334000 is 433231.

It is a tau number, because it is divible by the number of its divisors (80).

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 (132334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253740 + ... + 254260.

Almost surely, 2132334000 is an apocalyptic number.

132334000 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 132334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561088).

132334000 is an abundant number, since it is smaller than the sum of its proper divisors (190788176).

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

132334000 is a wasteful number, since it uses less digits than its factorization.

132334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 132334000 is about 11503.6515941678. The cubic root of 132334000 is about 509.5934219524.

Adding to 132334000 its reverse (433231), we get a palindrome (132767231).

The spelling of 132334000 in words is "one hundred thirty-two million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 521 635 1000 1016 1042 1270 2000 2032 2084 2540 2605 3175 4168 5080 5210 6350 8336 10160 10420 12700 13025 15875 20840 25400 26050 31750 41680 50800 52100 63500 65125 66167 104200 127000 130250 132334 208400 254000 260500 264668 330835 521000 529336 661670 1042000 1058672 1323340 1654175 2646680 3308350 5293360 6616700 8270875 13233400 16541750 26466800 33083500 66167000 132334000