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132620000 = 255419349
BaseRepresentation
bin1111110011110…
…01111011100000
3100020112210102212
413321321323200
5232422320000
621054301252
73200152142
oct771717340
9306483385
10132620000
1168951407
12384b7828
1321625196
1413882c92
15b999c35
hex7e79ee0

132620000 has 120 divisors (see below), whose sum is σ = 344421000. Its totient is φ = 50112000.

The previous prime is 132619999. The next prime is 132620021. The reversal of 132620000 is 26231.

132620000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 379826 + ... + 380174.

It is an arithmetic number, because the mean of its divisors is an integer number (2870175).

Almost surely, 2132620000 is an apocalyptic number.

132620000 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 132620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172210500).

132620000 is an abundant number, since it is smaller than the sum of its proper divisors (211801000).

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

132620000 is an equidigital number, since it uses as much as digits as its factorization.

132620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132620000 is about 11516.0757204874. The cubic root of 132620000 is about 509.9602685952.

Adding to 132620000 its reverse (26231), we get a palindrome (132646231).

The spelling of 132620000 in words is "one hundred thirty-two million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 349 380 400 475 500 608 625 698 760 800 950 1000 1250 1396 1520 1745 1900 2000 2375 2500 2792 3040 3490 3800 4000 4750 5000 5584 6631 6980 7600 8725 9500 10000 11168 11875 13262 13960 15200 17450 19000 20000 23750 26524 27920 33155 34900 38000 43625 47500 53048 55840 66310 69800 76000 87250 95000 106096 132620 139600 165775 174500 190000 212192 218125 265240 279200 331550 349000 380000 436250 530480 663100 698000 828875 872500 1060960 1326200 1396000 1657750 1745000 2652400 3315500 3490000 4144375 5304800 6631000 6980000 8288750 13262000 16577500 26524000 33155000 66310000 132620000