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103663664 = 24134331151
BaseRepresentation
bin1100010110111…
…00100000110000
321020001122210222
412023130200300
5203014214124
614141512212
72366061266
oct613344060
9236048728
10103663664
1153574055
122a872668
1318627260
14daa6436
15917a25e
hex62dc830

103663664 has 40 divisors (see below), whose sum is σ = 216986112. Its totient is φ = 47692800.

The previous prime is 103663643. The next prime is 103663697. The reversal of 103663664 is 466366301.

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, 89489 + ... + 90639.

Almost surely, 2103663664 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 103663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

103663664 is an abundant number, since it is smaller than the sum of its proper divisors (113322448).

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

103663664 is a wasteful number, since it uses less digits than its factorization.

103663664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 103663664 is about 10181.5354441263. The cubic root of 103663664 is about 469.7594423118.

The spelling of 103663664 in words is "one hundred three million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 433 866 1151 1732 2302 3464 4604 5629 6928 9208 11258 14963 18416 22516 29926 45032 59852 90064 119704 239408 498383 996766 1993532 3987064 6478979 7974128 12957958 25915916 51831832 103663664