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103966256 = 2423476011
BaseRepresentation
bin1100011001001…
…10011000110000
321020122000220002
412030212120300
5203103410011
614152205132
72401461422
oct614463060
9236560802
10103966256
1153760429
122a9997a8
1318701bc4
14db44812
1591d9c3b
hex6326630

103966256 has 40 divisors (see below), whose sum is σ = 214700544. Its totient is φ = 48656960.

The previous prime is 103966193. The next prime is 103966273. The reversal of 103966256 is 652669301.

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 7 ways as a sum of consecutive naturals, for example, 14291 + ... + 20301.

Almost surely, 2103966256 is an apocalyptic number.

103966256 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 103966256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107350272).

103966256 is an abundant number, since it is smaller than the sum of its proper divisors (110734288).

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

103966256 is a wasteful number, since it uses less digits than its factorization.

103966256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 103966256 is about 10196.3844572476. The cubic root of 103966256 is about 470.2160708643.

The spelling of 103966256 in words is "one hundred three million, nine hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 4324 6011 8648 12022 17296 24044 48088 96176 138253 276506 282517 553012 565034 1106024 1130068 2212048 2260136 4520272 6497891 12995782 25991564 51983128 103966256