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5103616 = 213789
BaseRepresentation
bin10011011110000000000000
3100121021211211
4103132000000
52301303431
6301215504
761244230
oct23360000
910537754
105103616
112976471
121861594
131098cbb
1496bcc0
156ac2b1
hex4de000

5103616 has 56 divisors (see below), whose sum is σ = 11795760. Its totient is φ = 2162688.

The previous prime is 5103613. The next prime is 5103619. The reversal of 5103616 is 6163015.

It is an interprime number because it is at equal distance from previous prime (5103613) and next prime (5103619).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57300 + ... + 57388.

Almost surely, 25103616 is an apocalyptic number.

5103616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897880).

5103616 is an abundant number, since it is smaller than the sum of its proper divisors (6692144).

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

5103616 is an frugal number, since it uses more digits than its factorization.

5103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5103616 is about 2259.1184121245. The cubic root of 5103616 is about 172.1707336582.

It can be divided in two parts, 510 and 3616, that multiplied together give a triangular number (1844160 = T1920).

The spelling of 5103616 in words is "five million, one hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 1024 1246 1424 1792 2048 2492 2848 3584 4096 4984 5696 7168 8192 9968 11392 14336 19936 22784 28672 39872 45568 57344 79744 91136 159488 182272 318976 364544 637952 729088 1275904 2551808 5103616