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132034000 = 245379431
BaseRepresentation
bin1111101111010…
…10110111010000
3100012110000121011
413313222313100
5232300042000
621033540304
73162161530
oct767526720
9305400534
10132034000
116859110a
1238274694
132147b537
141376d4c0
15b8d12ba
hex7deadd0

132034000 has 80 divisors (see below), whose sum is σ = 364905216. Its totient is φ = 45264000.

The previous prime is 132033997. The next prime is 132034003. The reversal of 132034000 is 430231.

It is an interprime number because it is at equal distance from previous prime (132033997) and next prime (132034003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132034003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9285 + ... + 18715.

Almost surely, 2132034000 is an apocalyptic number.

132034000 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 132034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182452608).

132034000 is an abundant number, since it is smaller than the sum of its proper divisors (232871216).

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

132034000 is an equidigital number, since it uses as much as digits as its factorization.

132034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132034000 is about 11490.6048578828. The cubic root of 132034000 is about 509.2080493430.

Adding to 132034000 its reverse (430231), we get a palindrome (132464231).

The spelling of 132034000 in words is "one hundred thirty-two million, thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 9431 14000 18862 37724 47155 66017 75448 94310 132034 150896 188620 235775 264068 330085 377240 471550 528136 660170 754480 943100 1056272 1178875 1320340 1650425 1886200 2357750 2640680 3300850 3772400 4715500 5281360 6601700 8252125 9431000 13203400 16504250 18862000 26406800 33008500 66017000 132034000