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5733120 = 28351493
BaseRepresentation
bin10101110111101100000000
3101210021100210
4111313230000
52431424440
6322514120
766505431
oct25675400
911707323
105733120
113266418
121b05940
1312596a3
14a93488
15783a80
hex577b00

5733120 has 72 divisors (see below), whose sum is σ = 18322416. Its totient is φ = 1527808.

The previous prime is 5733103. The next prime is 5733121. The reversal of 5733120 is 213375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5733121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3094 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (254478).

Almost surely, 25733120 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 5733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161208).

5733120 is an abundant number, since it is smaller than the sum of its proper divisors (12589296).

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

5733120 is a wasteful number, since it uses less digits than its factorization.

5733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 5733120 is about 2394.3934513776. The cubic root of 5733120 is about 178.9769120165.

Adding to 5733120 its reverse (213375), we get a palindrome (5946495).

The spelling of 5733120 in words is "five million, seven hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1493 1920 2986 3840 4479 5972 7465 8958 11944 14930 17916 22395 23888 29860 35832 44790 47776 59720 71664 89580 95552 119440 143328 179160 191104 238880 286656 358320 382208 477760 573312 716640 955520 1146624 1433280 1911040 2866560 5733120