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103663248 = 243133983
BaseRepresentation
bin1100010110111…
…00011010010000
321020001122020120
412023130122100
5203014210443
614141510240
72366060133
oct613343220
9236048216
10103663248
1153573807
122a872380
1318627000
14daa621a
15917a083
hex62dc690

103663248 has 80 divisors (see below), whose sum is σ = 290398080. Its totient is φ = 31863936.

The previous prime is 103663223. The next prime is 103663267. The reversal of 103663248 is 842366301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104965 + ... + 105947.

It is an arithmetic number, because the mean of its divisors is an integer number (3629976).

Almost surely, 2103663248 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 103663248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145199040).

103663248 is an abundant number, since it is smaller than the sum of its proper divisors (186734832).

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

103663248 is an equidigital number, since it uses as much as digits as its factorization.

103663248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 103663248 is about 10181.5150149671. The cubic root of 103663248 is about 469.7588139329.

The spelling of 103663248 in words is "one hundred three million, six hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 983 1014 1352 1966 2028 2197 2704 2949 3932 4056 4394 5898 6591 7864 8112 8788 11796 12779 13182 15728 17576 23592 25558 26364 35152 38337 47184 51116 52728 76674 102232 105456 153348 166127 204464 306696 332254 498381 613392 664508 996762 1329016 1993524 2159651 2658032 3987048 4319302 6478953 7974096 8638604 12957906 17277208 25915812 34554416 51831624 103663248