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270869248 = 2813199409
BaseRepresentation
bin10000001001010…
…010001100000000
3200212200120202101
4100021102030000
51023320303443
642513400144
76466231156
oct2011221400
9625616671
10270869248
11129998091
1276869054
134416b680
1427d8d3d6
1518ba784d
hex10252300

270869248 has 72 divisors (see below), whose sum is σ = 586628000. Its totient is φ = 124084224.

The previous prime is 270869239. The next prime is 270869327. The reversal of 270869248 is 842968072.

It is a junction number, because it is equal to n+sod(n) for n = 270869198 and 270869207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662068 + ... + 662476.

Almost surely, 2270869248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314000).

270869248 is an abundant number, since it is smaller than the sum of its proper divisors (315758752).

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

270869248 is a wasteful number, since it uses less digits than its factorization.

270869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 270869248 is about 16458.1058448413. The cubic root of 270869248 is about 647.0232706805.

The spelling of 270869248 in words is "two hundred seventy million, eight hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 199 208 256 398 409 416 796 818 832 1592 1636 1664 2587 3184 3272 3328 5174 5317 6368 6544 10348 10634 12736 13088 20696 21268 25472 26176 41392 42536 50944 52352 81391 82784 85072 104704 162782 165568 170144 325564 331136 340288 651128 662272 680576 1058083 1302256 1361152 2116166 2604512 4232332 5209024 8464664 10418048 16929328 20836096 33858656 67717312 135434624 270869248