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270516096 = 2732432127
BaseRepresentation
bin10000000111111…
…011111110000000
3200212000122022200
4100013323332000
51023223003341
642502033200
76463230444
oct2007737600
9625018280
10270516096
11129776824
1276718800
13440769c6
1427cda824
1518b37db6
hex101fbf80

270516096 has 144 divisors (see below), whose sum is σ = 803237760. Its totient is φ = 87381504.

The previous prime is 270516083. The next prime is 270516109. The reversal of 270516096 is 690615072.

It is an interprime number because it is at equal distance from previous prime (270516083) and next prime (270516109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 270516096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2129985 + ... + 2130111.

It is an arithmetic number, because the mean of its divisors is an integer number (5578040).

Almost surely, 2270516096 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 270516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401618880).

270516096 is an abundant number, since it is smaller than the sum of its proper divisors (532721664).

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

270516096 is a wasteful number, since it uses less digits than its factorization.

270516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 270516096 is about 16447.3735289255. The cubic root of 270516096 is about 646.7419579085.

The spelling of 270516096 in words is "two hundred seventy million, five hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 127 128 129 144 172 192 254 258 288 344 381 384 387 508 516 576 688 762 774 1016 1032 1143 1152 1376 1524 1548 1849 2032 2064 2286 2752 3048 3096 3698 4064 4128 4572 5461 5504 5547 6096 6192 7396 8128 8256 9144 10922 11094 12192 12384 14792 16256 16383 16512 16641 18288 21844 22188 24384 24768 29584 32766 33282 36576 43688 44376 48768 49149 49536 59168 65532 66564 73152 87376 88752 98298 118336 131064 133128 146304 174752 177504 196596 234823 236672 262128 266256 349504 355008 393192 469646 524256 532512 699008 704469 710016 786384 939292 1048512 1065024 1408938 1572768 1878584 2097024 2113407 2130048 2817876 3145536 3757168 4226814 5635752 6291072 7514336 8453628 11271504 15028672 16907256 22543008 30057344 33814512 45086016 67629024 90172032 135258048 270516096