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256000300 = 225219672011
BaseRepresentation
bin11110100001001…
…00000100101100
3122211201011101121
433100210010230
51011014002200
641222550324
76225652363
oct1720440454
9584634347
10256000300
111215618a6
12718983a4
134106388a
1425ddc7da
151771be1a
hexf42412c

256000300 has 72 divisors (see below), whose sum is σ = 593781440. Its totient is φ = 95515200.

The previous prime is 256000279. The next prime is 256000307. The reversal of 256000300 is 3000652.

It is not an unprimeable number, because it can be changed into a prime (256000307) 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 23 ways as a sum of consecutive naturals, for example, 126295 + ... + 128305.

Almost surely, 2256000300 is an apocalyptic number.

256000300 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 256000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296890720).

256000300 is an abundant number, since it is smaller than the sum of its proper divisors (337781140).

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

256000300 is a wasteful number, since it uses less digits than its factorization.

256000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 256000300 is about 16000.0093749973. The cubic root of 256000300 is about 634.9606688186.

Adding to 256000300 its reverse (3000652), we get a palindrome (259000952).

The spelling of 256000300 in words is "two hundred fifty-six million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2011 2546 3350 4022 5092 6365 6700 8044 10055 12730 20110 25460 31825 38209 40220 50275 63650 76418 100550 127300 134737 152836 191045 201100 269474 382090 538948 673685 764180 955225 1347370 1910450 2560003 2694740 3368425 3820900 5120006 6736850 10240012 12800015 13473700 25600030 51200060 64000075 128000150 256000300