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132427000 = 2353151877
BaseRepresentation
bin1111110010010…
…10110011111000
3100020011222200201
413321022303320
5232400131000
621050211544
73165416356
oct771126370
9306158621
10132427000
116882a402
1238423bb4
1321588394
14138327d6
15b95c96a
hex7e4acf8

132427000 has 64 divisors (see below), whose sum is σ = 312287040. Its totient is φ = 52560000.

The previous prime is 132426977. The next prime is 132427013. The reversal of 132427000 is 724231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150562 + ... + 151438.

It is an arithmetic number, because the mean of its divisors is an integer number (4879485).

Almost surely, 2132427000 is an apocalyptic number.

132427000 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 132427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156143520).

132427000 is an abundant number, since it is smaller than the sum of its proper divisors (179860040).

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

132427000 is a wasteful number, since it uses less digits than its factorization.

132427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 132427000 is about 11507.6930789798. The cubic root of 132427000 is about 509.7127691866.

The spelling of 132427000 in words is "one hundred thirty-two million, four hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 877 1000 1208 1510 1754 3020 3508 3775 4385 6040 7016 7550 8770 15100 17540 18875 21925 30200 35080 37750 43850 75500 87700 109625 132427 151000 175400 219250 264854 438500 529708 662135 877000 1059416 1324270 2648540 3310675 5297080 6621350 13242700 16553375 26485400 33106750 66213500 132427000