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132355000 = 2354103257
BaseRepresentation
bin1111110001110…
…01001110111000
3100020001022221001
413320321032320
5232340330000
621044454344
73164666431
oct770711670
9306038831
10132355000
11687902a8
12383aa3b4
132156168b
1413814488
15b94646a
hex7e393b8

132355000 has 80 divisors (see below), whose sum is σ = 314336880. Its totient is φ = 52224000.

The previous prime is 132354997. The next prime is 132355001. The reversal of 132355000 is 553231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132355001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 514872 + ... + 515128.

It is an arithmetic number, because the mean of its divisors is an integer number (3929211).

Almost surely, 2132355000 is an apocalyptic number.

132355000 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 132355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157168440).

132355000 is an abundant number, since it is smaller than the sum of its proper divisors (181981880).

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

132355000 is a wasteful number, since it uses less digits than its factorization.

132355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 132355000 is about 11504.5643116113. The cubic root of 132355000 is about 509.6203762142.

The spelling of 132355000 in words is "one hundred thirty-two million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 257 412 500 514 515 625 824 1000 1028 1030 1250 1285 2056 2060 2500 2570 2575 4120 5000 5140 5150 6425 10280 10300 12850 12875 20600 25700 25750 26471 32125 51400 51500 52942 64250 64375 103000 105884 128500 128750 132355 160625 211768 257000 257500 264710 321250 515000 529420 642500 661775 1058840 1285000 1323550 2647100 3308875 5294200 6617750 13235500 16544375 26471000 33088750 66177500 132355000