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3253520000 = 275467607
BaseRepresentation
bin1100000111101100…
…1100011010000000
322101202001221101202
43001323030122000
523130400120000
61254502120332
7143424315023
oct30173143200
98352057352
103253520000
11141a588805
127697200a8
133cb08a183
1422c15b1ba
15140970dd5
hexc1ecc680

3253520000 has 160 divisors (see below), whose sum is σ = 8233864320. Its totient is φ = 1279872000.

The previous prime is 3253519987. The next prime is 3253520009. The reversal of 3253520000 is 253523.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (3253520009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5359697 + ... + 5360303.

It is an arithmetic number, because the mean of its divisors is an integer number (51461652).

Almost surely, 23253520000 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 3253520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116932160).

3253520000 is an abundant number, since it is smaller than the sum of its proper divisors (4980344320).

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

3253520000 is an frugal number, since it uses more digits than its factorization.

3253520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 3253520000 is about 57039.6353424529. The cubic root of 3253520000 is about 1481.7826097757.

Adding to 3253520000 its reverse (253523), we get a palindrome (3253773523).

The spelling of 3253520000 in words is "three billion, two hundred fifty-three million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 268 320 335 400 500 536 607 625 640 670 800 1000 1072 1214 1250 1340 1600 1675 2000 2144 2428 2500 2680 3035 3200 3350 4000 4288 4856 5000 5360 6070 6700 8000 8375 8576 9712 10000 10720 12140 13400 15175 16000 16750 19424 20000 21440 24280 26800 30350 33500 38848 40000 40669 41875 42880 48560 53600 60700 67000 75875 77696 80000 81338 83750 97120 107200 121400 134000 151750 162676 167500 194240 203345 214400 242800 268000 303500 325352 335000 379375 388480 406690 485600 536000 607000 650704 670000 758750 813380 971200 1016725 1072000 1214000 1301408 1340000 1517500 1626760 1942400 2033450 2428000 2602816 2680000 3035000 3253520 4066900 4856000 5083625 5205632 5360000 6070000 6507040 8133800 9712000 10167250 12140000 13014080 16267600 20334500 24280000 25418125 26028160 32535200 40669000 48560000 50836250 65070400 81338000 101672500 130140800 162676000 203345000 325352000 406690000 650704000 813380000 1626760000 3253520000