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103663472 = 24115967149
BaseRepresentation
bin1100010110111…
…00011101110000
321020001122112212
412023130131300
5203014212342
614141511252
72366060603
oct613343560
9236048485
10103663472
11535739a0
122a872528
1318627143
14daa633a
15917a182
hex62dc770

103663472 has 80 divisors (see below), whose sum is σ = 227664000. Its totient is φ = 45323520.

The previous prime is 103663447. The next prime is 103663477. The reversal of 103663472 is 274366301.

It is a super-2 number, since 2×1036634722 = 21492230854189568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103663477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695654 + ... + 695802.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2103663472 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 103663472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

103663472 is an abundant number, since it is smaller than the sum of its proper divisors (124000528).

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

103663472 is a wasteful number, since it uses less digits than its factorization.

103663472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 103663472 is about 10181.5260152887. The cubic root of 103663472 is about 469.7591522910.

The spelling of 103663472 in words is "one hundred three million, six hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 59 67 88 118 134 149 176 236 268 298 472 536 596 649 737 944 1072 1192 1298 1474 1639 2384 2596 2948 3278 3953 5192 5896 6556 7906 8791 9983 10384 11792 13112 15812 17582 19966 26224 31624 35164 39932 43483 63248 70328 79864 86966 96701 109813 140656 159728 173932 193402 219626 347864 386804 439252 588997 695728 773608 878504 1177994 1547216 1757008 2355988 4711976 6478967 9423952 12957934 25915868 51831736 103663472