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133520600 = 23521941857
BaseRepresentation
bin1111111010101…
…01110011011000
3100022020112211102
413331111303120
5233140124400
621125450532
73210622613
oct775256330
9308215742
10133520600
1169407004
1238870a48
132187c095
1413a3917a
15bac69d5
hex7f55cd8

133520600 has 96 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 49305600.

The previous prime is 133520593. The next prime is 133520609. The reversal of 133520600 is 6025331.

133520600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133520609) 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 23 ways as a sum of consecutive naturals, for example, 155372 + ... + 156228.

Almost surely, 2133520600 is an apocalyptic number.

133520600 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 133520600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

133520600 is an abundant number, since it is smaller than the sum of its proper divisors (201614200).

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

133520600 is a wasteful number, since it uses less digits than its factorization.

133520600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 133520600 is about 11555.1114230889. Note that the first 3 decimals coincide. The cubic root of 133520600 is about 511.1120167316.

Adding to 133520600 its reverse (6025331), we get a palindrome (139545931).

The spelling of 133520600 in words is "one hundred thirty-three million, five hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 152 164 190 200 205 328 380 410 475 760 779 820 857 950 1025 1558 1640 1714 1900 2050 3116 3428 3800 3895 4100 4285 6232 6856 7790 8200 8570 15580 16283 17140 19475 21425 31160 32566 34280 35137 38950 42850 65132 70274 77900 81415 85700 130264 140548 155800 162830 171400 175685 281096 325660 351370 407075 651320 667603 702740 814150 878425 1335206 1405480 1628300 1756850 2670412 3256600 3338015 3513700 5340824 6676030 7027400 13352060 16690075 26704120 33380150 66760300 133520600