Search a number
-
+
5307750 = 232537337
BaseRepresentation
bin10100001111110101100110
3100222122212100
4110033311212
52324322000
6305432530
763054330
oct24176546
910878770
105307750
112aa5878
12193b746
13113aba6
149c2450
156eca00
hex50fd66

5307750 has 96 divisors (see below), whose sum is σ = 16451136. Its totient is φ = 1209600.

The previous prime is 5307749. The next prime is 5307763. The reversal of 5307750 is 577035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15582 + ... + 15918.

It is an arithmetic number, because the mean of its divisors is an integer number (171366).

Almost surely, 25307750 is an apocalyptic number.

5307750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225568).

5307750 is an abundant number, since it is smaller than the sum of its proper divisors (11143386).

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

5307750 is a wasteful number, since it uses less digits than its factorization.

5307750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 5307750 is about 2303.8554642165. The cubic root of 5307750 is about 174.4362813093.

The spelling of 5307750 in words is "five million, three hundred seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 337 350 375 450 525 630 674 750 875 1011 1050 1125 1575 1685 1750 2022 2250 2359 2625 3033 3150 3370 4718 5055 5250 6066 7077 7875 8425 10110 11795 14154 15165 15750 16850 21231 23590 25275 30330 35385 42125 42462 50550 58975 70770 75825 84250 106155 117950 126375 151650 176925 212310 252750 294875 353850 379125 530775 589750 758250 884625 1061550 1769250 2653875 5307750