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5107344 = 2431117569
BaseRepresentation
bin10011011110111010010000
3100121110221220
4103132322100
52301413334
6301245040
761261134
oct23367220
910543856
105107344
112979250
121863780
13109a8c8
1496d3c4
156ad449
hex4dee90

5107344 has 80 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 1454080.

The previous prime is 5107337. The next prime is 5107351. The reversal of 5107344 is 4437015.

5107344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5107337) and next prime (5107351).

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

It is a congruent number.

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, 8692 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 25107344 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 5107344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440).

5107344 is an abundant number, since it is smaller than the sum of its proper divisors (10159536).

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

5107344 is a wasteful number, since it uses less digits than its factorization.

5107344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

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

The square root of 5107344 is about 2259.9433621222. The cubic root of 5107344 is about 172.2126448754.

The spelling of 5107344 in words is "five million, one hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 569 748 816 1122 1138 1496 1707 2244 2276 2992 3414 4488 4552 6259 6828 8976 9104 9673 12518 13656 18777 19346 25036 27312 29019 37554 38692 50072 58038 75108 77384 100144 106403 116076 150216 154768 212806 232152 300432 319209 425612 464304 638418 851224 1276836 1702448 2553672 5107344