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270425000 = 235529373
BaseRepresentation
bin10000000111100…
…101101110101000
3200211212000100202
4100013211232220
51023212100000
642500051332
76462401036
oct2007455650
9624760322
10270425000
1112971433a
1276693b48
13440443c1
1427cb5556
1518b1add5
hex101e5ba8

270425000 has 96 divisors (see below), whose sum is σ = 657379800. Its totient is φ = 104160000.

The previous prime is 270424951. The next prime is 270425009. The reversal of 270425000 is 524072.

It can be written as a sum of positive squares in 12 ways, for example, as 115820644 + 154604356 = 10762^2 + 12434^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (270425009) 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 23 ways as a sum of consecutive naturals, for example, 724814 + ... + 725186.

Almost surely, 2270425000 is an apocalyptic number.

270425000 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 270425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328689900).

270425000 is an abundant number, since it is smaller than the sum of its proper divisors (386954800).

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

270425000 is an equidigital number, since it uses as much as digits as its factorization.

270425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 270425000 is about 16444.6039782051. The cubic root of 270425000 is about 646.6693532086.

Adding to 270425000 its reverse (524072), we get a palindrome (270949072).

The spelling of 270425000 in words is "two hundred seventy million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 373 500 580 625 725 746 1000 1160 1250 1450 1492 1865 2500 2900 2984 3125 3625 3730 5000 5800 6250 7250 7460 9325 10817 12500 14500 14920 18125 18650 21634 25000 29000 36250 37300 43268 46625 54085 72500 74600 86536 90625 93250 108170 145000 181250 186500 216340 233125 270425 362500 373000 432680 466250 540850 725000 932500 1081700 1165625 1352125 1865000 2163400 2331250 2704250 4662500 5408500 6760625 9325000 10817000 13521250 27042500 33803125 54085000 67606250 135212500 270425000