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102280248 = 23327253547
BaseRepresentation
bin1100001100010…
…10110000111000
321010110101010100
412012022300320
5202140431443
614052115400
72351240100
oct606126070
9233411110
10102280248
1152809734
122a305b60
1318261675
14d826200
158ea53d3
hex618ac38

102280248 has 144 divisors (see below), whose sum is σ = 328915080. Its totient is φ = 28619136.

The previous prime is 102280223. The next prime is 102280261. The reversal of 102280248 is 842082201.

It is a super-2 number, since 2×1022802482 = 20922498261883008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 186711 + ... + 187257.

Almost surely, 2102280248 is an apocalyptic number.

102280248 is a gapful number since it is divisible by the number (18) 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 102280248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164457540).

102280248 is an abundant number, since it is smaller than the sum of its proper divisors (226634832).

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

102280248 is a wasteful number, since it uses less digits than its factorization.

102280248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102280248 is about 10113.3697648212. The cubic root of 102280248 is about 467.6603935524.

The spelling of 102280248 in words is "one hundred two million, two hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 159 168 196 212 252 294 318 371 392 424 441 477 504 547 588 636 742 882 954 1094 1113 1176 1272 1484 1641 1764 1908 2188 2226 2597 2968 3282 3339 3528 3816 3829 4376 4452 4923 5194 6564 6678 7658 7791 8904 9846 10388 11487 13128 13356 15316 15582 19692 20776 22974 23373 26712 26803 28991 30632 31164 34461 39384 45948 46746 53606 57982 62328 68922 80409 86973 91896 93492 107212 115964 137844 160818 173946 186984 202937 214424 231928 241227 260919 275688 321636 347892 405874 482454 521838 608811 643272 695784 811748 964908 1043676 1217622 1420559 1623496 1826433 1929816 2087352 2435244 2841118 3652866 4261677 4870488 5682236 7305732 8523354 11364472 12785031 14611464 17046708 25570062 34093416 51140124 102280248