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103280716 = 227112931373
BaseRepresentation
bin1100010011111…
…11000001001100
321012100012111201
412021333001030
5202414440331
614125355244
72362604650
oct611770114
9235305451
10103280716
1153332370
122a708b24
1318521b66
14da06a60
159101a61
hex627f04c

103280716 has 96 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 37497600.

The previous prime is 103280699. The next prime is 103280717. The reversal of 103280716 is 617082301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103280717) 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 31 ways as a sum of consecutive naturals, for example, 276706 + ... + 277078.

It is an arithmetic number, because the mean of its divisors is an integer number (2513280).

Almost surely, 2103280716 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 103280716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

103280716 is an abundant number, since it is smaller than the sum of its proper divisors (137994164).

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

103280716 is a wasteful number, since it uses less digits than its factorization.

103280716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 103280716 is about 10162.7120396083. The cubic root of 103280716 is about 469.1802763024.

The spelling of 103280716 in words is "one hundred three million, two hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 29 31 44 58 62 77 116 124 154 203 217 308 319 341 373 406 434 638 682 746 812 868 899 1276 1364 1492 1798 2233 2387 2611 3596 4103 4466 4774 5222 6293 8206 8932 9548 9889 10444 10817 11563 12586 16412 19778 21634 23126 25172 28721 39556 43268 46252 57442 69223 75719 80941 114884 118987 127193 138446 151438 161882 237974 254386 276892 302876 323764 335327 475948 508772 670654 832909 890351 1341308 1665818 1780702 2347289 3331636 3561404 3688597 4694578 7377194 9389156 14754388 25820179 51640358 103280716