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676758240 = 2534579661
BaseRepresentation
bin101000010101101…
…000001011100000
31202011102212210000
4220111220023200
52341222230430
6151053140000
722525231044
oct5025501340
91664385700
10676758240
11318015534
1216a78a600
13aa292582
1465c48024
153e630e60
hex285682e0

676758240 has 240 divisors, whose sum is σ = 2422284480. Its totient is φ = 177914880.

The previous prime is 676758221. The next prime is 676758263. The reversal of 676758240 is 42857676.

676758240 is a `hidden beast` number, since 6 + 7 + 67 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1023510 + ... + 1024170.

It is an arithmetic number, because the mean of its divisors is an integer number (10092852).

Almost surely, 2676758240 is an apocalyptic number.

676758240 is a gapful number since it is divisible by the number (60) 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 676758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211142240).

676758240 is an abundant number, since it is smaller than the sum of its proper divisors (1745526240).

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

676758240 is a wasteful number, since it uses less digits than its factorization.

676758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 676758240 is about 26014.5774518826. The cubic root of 676758240 is about 877.9663092460.

The spelling of 676758240 in words is "six hundred seventy-six million, seven hundred fifty-eight thousand, two hundred forty".