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103683648 = 2631633313
BaseRepresentation
bin1100010111000…
…01011001000000
321020002200020010
412023201121000
5203020334043
614142144520
72366203455
oct613413100
9236080203
10103683648
1153588072
122a882140
1318633393
14daad82c
159181133
hex62e1640

103683648 has 56 divisors (see below), whose sum is σ = 276095968. Its totient is φ = 34338816.

The previous prime is 103683641. The next prime is 103683649. The reversal of 103683648 is 846386301.

It is not an unprimeable number, because it can be changed into a prime (103683641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29640 + ... + 32952.

Almost surely, 2103683648 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 103683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138047984).

103683648 is an abundant number, since it is smaller than the sum of its proper divisors (172412320).

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

103683648 is a wasteful number, since it uses less digits than its factorization.

103683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 103683648 is about 10182.5167812285. The cubic root of 103683648 is about 469.7896266894.

The spelling of 103683648 in words is "one hundred three million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3313 3912 5216 6626 7824 9939 10432 13252 15648 19878 26504 31296 39756 53008 79512 106016 159024 212032 318048 540019 636096 1080038 1620057 2160076 3240114 4320152 6480228 8640304 12960456 17280608 25920912 34561216 51841824 103683648