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325136000 = 275372903
BaseRepresentation
bin10011011000010…
…010111010000000
3211122210121202002
4103120102322000
51131213323000
652132443132
711025416240
oct2330227200
9748717662
10325136000
11157592542
1290a794a8
135248bb87
1431277b20
151d8268d5
hex13612e80

325136000 has 128 divisors (see below), whose sum is σ = 924168960. Its totient is φ = 111436800.

The previous prime is 325135969. The next prime is 325136017. The reversal of 325136000 is 631523.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110549 + ... + 113451.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2325136000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462084480).

325136000 is an abundant number, since it is smaller than the sum of its proper divisors (599032960).

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

325136000 is an equidigital number, since it uses as much as digits as its factorization.

325136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2917 counting only the distinct ones).

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

The square root of 325136000 is about 18031.5279441316. The cubic root of 325136000 is about 687.6303224020.

Adding to 325136000 its reverse (631523), we get a palindrome (325767523).

The spelling of 325136000 in words is "three hundred twenty-five million, one hundred thirty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 2903 3200 3500 4000 4480 5600 5806 7000 8000 11200 11612 14000 14515 16000 20321 22400 23224 28000 29030 40642 46448 56000 58060 72575 81284 92896 101605 112000 116120 145150 162568 185792 203210 232240 290300 325136 362875 371584 406420 464480 508025 580600 650272 725750 812840 928960 1016050 1161200 1300544 1451500 1625680 1857920 2032100 2322400 2540125 2601088 2903000 3251360 4064200 4644800 5080250 5806000 6502720 8128400 9289600 10160500 11612000 13005440 16256800 20321000 23224000 32513600 40642000 46448000 65027200 81284000 162568000 325136000