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102320256 = 273416797
BaseRepresentation
bin1100001100101…
…00100010000000
321010112102000010
412012110202000
5202143222011
614053024520
72351464533
oct606244200
9233472003
10102320256
11528367a5
122a325140
131827693c
14d836a1a
158eb21a6
hex6194880

102320256 has 128 divisors (see below), whose sum is σ = 285485760. Its totient is φ = 32440320.

The previous prime is 102320201. The next prime is 102320279. The reversal of 102320256 is 652023201.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054800 + ... + 1054896.

Almost surely, 2102320256 is an apocalyptic number.

102320256 is a gapful number since it is divisible by the number (16) 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 102320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142742880).

102320256 is an abundant number, since it is smaller than the sum of its proper divisors (183165504).

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

102320256 is an equidigital number, since it uses as much as digits as its factorization.

102320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102320256 is about 10115.3475471681. The cubic root of 102320256 is about 467.7213623721.

Adding to 102320256 its reverse (652023201), we get a palindrome (754343457).

The spelling of 102320256 in words is "one hundred two million, three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 97 123 128 134 164 192 194 201 246 268 291 328 384 388 402 492 536 582 656 776 804 984 1072 1164 1312 1552 1608 1968 2144 2328 2624 2747 3104 3216 3936 3977 4288 4656 5248 5494 6208 6432 6499 7872 7954 8241 8576 9312 10988 11931 12416 12864 12998 15744 15908 16482 18624 19497 21976 23862 25728 25996 31816 32964 37248 38994 43952 47724 51992 63632 65928 77988 87904 95448 103984 127264 131856 155976 175808 190896 207968 254528 263712 266459 311952 351616 381792 415936 509056 527424 532918 623904 763584 799377 831872 1054848 1065836 1247808 1527168 1598754 2131672 2495616 3197508 4263344 6395016 8526688 12790032 17053376 25580064 34106752 51160128 102320256