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75520000 = 2115459
BaseRepresentation
bin1001000000001…
…01100000000000
312021002210222001
410200011200000
5123313120000
611254353344
71604623633
oct440054000
9167083861
1075520000
11396a1326
122135b854
13128521ba
14a05bc1a
15696b46a
hex4805800

75520000 has 120 divisors (see below), whose sum is σ = 191891700. Its totient is φ = 29696000.

The previous prime is 75519989. The next prime is 75520007. The reversal of 75520000 is 2557.

It is a happy number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 75520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279971 + ... + 1280029.

Almost surely, 275520000 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 75520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95945850).

75520000 is an abundant number, since it is smaller than the sum of its proper divisors (116371700).

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

75520000 is an frugal number, since it uses more digits than its factorization.

75520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 75520000 is about 8690.2243929602. The cubic root of 75520000 is about 422.6887221035.

Adding to 75520000 its reverse (2557), we get a palindrome (75522557).

The spelling of 75520000 in words is "seventy-five million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 256 295 320 400 472 500 512 590 625 640 800 944 1000 1024 1180 1250 1280 1475 1600 1888 2000 2048 2360 2500 2560 2950 3200 3776 4000 4720 5000 5120 5900 6400 7375 7552 8000 9440 10000 10240 11800 12800 14750 15104 16000 18880 20000 23600 25600 29500 30208 32000 36875 37760 40000 47200 51200 59000 60416 64000 73750 75520 80000 94400 118000 120832 128000 147500 151040 160000 188800 236000 256000 295000 302080 320000 377600 472000 590000 604160 640000 755200 944000 1180000 1280000 1510400 1888000 2360000 3020800 3776000 4720000 7552000 9440000 15104000 18880000 37760000 75520000