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5347104 = 253773109
BaseRepresentation
bin10100011001011100100000
3101001122211220
4110121130200
52332101404
6310335040
763310140
oct24313440
911048756
105347104
1130223a4
12195a480
131152a89
149d2920
157094d9
hex519720

5347104 has 96 divisors (see below), whose sum is σ = 16410240. Its totient is φ = 1492992.

The previous prime is 5347103. The next prime is 5347123. The reversal of 5347104 is 4017435.

5347104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5347103) 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, 49002 + ... + 49110.

It is an arithmetic number, because the mean of its divisors is an integer number (170940).

Almost surely, 25347104 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 5347104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205120).

5347104 is an abundant number, since it is smaller than the sum of its proper divisors (11063136).

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

5347104 is a wasteful number, since it uses less digits than its factorization.

5347104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5347104 is about 2312.3805915117. The cubic root of 5347104 is about 174.8663360295.

The spelling of 5347104 in words is "five million, three hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 109 112 146 168 218 219 224 292 327 336 436 438 511 584 654 672 763 872 876 1022 1168 1308 1526 1533 1744 1752 2044 2289 2336 2616 3052 3066 3488 3504 4088 4578 5232 6104 6132 7008 7957 8176 9156 10464 12208 12264 15914 16352 18312 23871 24416 24528 31828 36624 47742 49056 55699 63656 73248 95484 111398 127312 167097 190968 222796 254624 334194 381936 445592 668388 763872 891184 1336776 1782368 2673552 5347104