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5233734 = 23511289
BaseRepresentation
bin10011111101110001000110
3100211220100000
4103331301012
52314434414
6304102130
762325462
oct23756106
910756300
105233734
112a55200
121904946
1311132ac
149a34a2
156d5b09
hex4fdc46

5233734 has 72 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1568160.

The previous prime is 5233727. The next prime is 5233741. The reversal of 5233734 is 4373325.

It is an interprime number because it is at equal distance from previous prime (5233727) and next prime (5233741).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7560) is a multiple of the sum of its prime divisors (105).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5233698 and 5233707.

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 35 ways as a sum of consecutive naturals, for example, 58762 + ... + 58850.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 25233734 is an apocalyptic number.

5233734 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5233734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

5233734 is an abundant number, since it is smaller than the sum of its proper divisors (7837506).

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

5233734 is a wasteful number, since it uses less digits than its factorization.

5233734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 5233734 is about 2287.7355616417. The cubic root of 5233734 is about 173.6216511536.

The spelling of 5233734 in words is "five million, two hundred thirty-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 121 162 178 198 242 243 267 297 363 486 534 594 726 801 891 979 1089 1602 1782 1958 2178 2403 2673 2937 3267 4806 5346 5874 6534 7209 8811 9801 10769 14418 17622 19602 21538 21627 26433 29403 32307 43254 52866 58806 64614 79299 96921 158598 193842 237897 290763 475794 581526 872289 1744578 2616867 5233734