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275075040 = 25351972909
BaseRepresentation
bin10000011001010…
…100111111100000
3201011121021000110
4100121110333200
51030404400130
643143451320
76550046022
oct2031247740
9634537013
10275075040
111312aaa49
1278156b40
1344cb1ac6
1428766012
1519238ab0
hex10654fe0

275075040 has 96 divisors (see below), whose sum is σ = 871184160. Its totient is φ = 72955904.

The previous prime is 275074991. The next prime is 275075041. The reversal of 275075040 is 40570572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 275074989 and 275075007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275075041) 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 15 ways as a sum of consecutive naturals, for example, 93106 + ... + 96014.

It is an arithmetic number, because the mean of its divisors is an integer number (9074835).

Almost surely, 2275075040 is an apocalyptic number.

275075040 is a gapful number since it is divisible by the number (20) 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 275075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435592080).

275075040 is an abundant number, since it is smaller than the sum of its proper divisors (596109120).

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

275075040 is a wasteful number, since it uses less digits than its factorization.

275075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 275075040 is about 16585.3863385813. The cubic root of 275075040 is about 650.3548673690.

The spelling of 275075040 in words is "two hundred seventy-five million, seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2909 2955 3152 3940 4728 5818 5910 6304 7880 8727 9456 11636 11820 14545 15760 17454 18912 23272 23640 29090 31520 34908 43635 46544 47280 58180 69816 87270 93088 94560 116360 139632 174540 232720 279264 349080 465440 573073 698160 1146146 1396320 1719219 2292292 2865365 3438438 4584584 5730730 6876876 8596095 9169168 11461460 13753752 17192190 18338336 22922920 27507504 34384380 45845840 55015008 68768760 91691680 137537520 275075040