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275046640 = 24511312553
BaseRepresentation
bin10000011001001…
…110000011110000
3201011112211001121
4100121032003300
51030402443030
643143112024
76546600151
oct2031160360
9634484047
10275046640
11131290680
1278142614
1344ca1bbb
1428759928
151923047a
hex1064e0f0

275046640 has 40 divisors (see below), whose sum is σ = 697620528. Its totient is φ = 100016640.

The previous prime is 275046631. The next prime is 275046649. The reversal of 275046640 is 46640572.

It is an interprime number because it is at equal distance from previous prime (275046631) and next prime (275046649).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 275046596 and 275046605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275046649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 155397 + ... + 157156.

Almost surely, 2275046640 is an apocalyptic number.

275046640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

275046640 is an abundant number, since it is smaller than the sum of its proper divisors (422573888).

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

275046640 is a wasteful number, since it uses less digits than its factorization.

275046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312577 (or 312571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 275046640 is about 16584.5301410682. The cubic root of 275046640 is about 650.3324847324.

The spelling of 275046640 in words is "two hundred seventy-five million, forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 312553 625106 1250212 1562765 2500424 3125530 3438083 5000848 6251060 6876166 12502120 13752332 17190415 25004240 27504664 34380830 55009328 68761660 137523320 275046640