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5103680 = 26541389
BaseRepresentation
bin10011011110000001000000
3100121021221012
4103132001000
52301304210
6301220052
761244351
oct23360100
910537835
105103680
11297651a
121861628
13109903a
1496bd28
156ac305
hex4de040

5103680 has 56 divisors (see below), whose sum is σ = 12481560. Its totient is φ = 1986560.

The previous prime is 5103671. The next prime is 5103691. The reversal of 5103680 is 863015.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 5053504 = 224^2 + 2248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12926 + ... + 13314.

It is an arithmetic number, because the mean of its divisors is an integer number (222885).

Almost surely, 25103680 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 5103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240780).

5103680 is an abundant number, since it is smaller than the sum of its proper divisors (7377880).

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

5103680 is a wasteful number, since it uses less digits than its factorization.

5103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5103680 is about 2259.1325768976. The cubic root of 5103680 is about 172.1714533362.

Adding to 5103680 its reverse (863015), we get a palindrome (5966695).

It can be divided in two parts, 5 and 103680, that multiplied together give a square (518400 = 7202).

The spelling of 5103680 in words is "five million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 389 410 656 778 820 1312 1556 1640 1945 2624 3112 3280 3890 6224 6560 7780 12448 13120 15560 15949 24896 31120 31898 62240 63796 79745 124480 127592 159490 255184 318980 510368 637960 1020736 1275920 2551840 5103680