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5797920 = 253547257
BaseRepresentation
bin10110000111100000100000
3101220120020210
4112013200200
52441013140
6324134120
7100165362
oct26074040
911816223
105797920
113300077
121b37340
13128002b
14aacd32
15797d80
hex587820

5797920 has 96 divisors (see below), whose sum is σ = 18724608. Its totient is φ = 1507328.

The previous prime is 5797919. The next prime is 5797927. The reversal of 5797920 is 297975.

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (5797927) 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, 22432 + ... + 22688.

It is an arithmetic number, because the mean of its divisors is an integer number (195048).

Almost surely, 25797920 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 5797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362304).

5797920 is an abundant number, since it is smaller than the sum of its proper divisors (12926688).

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

5797920 is a wasteful number, since it uses less digits than its factorization.

5797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 5797920 is about 2407.8870405399. The cubic root of 5797920 is about 179.6486975320.

Subtracting from 5797920 its reverse (297975), we obtain a palindrome (5499945).

The spelling of 5797920 in words is "five million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 257 282 376 470 480 514 564 705 752 771 940 1028 1128 1285 1410 1504 1542 1880 2056 2256 2570 2820 3084 3760 3855 4112 4512 5140 5640 6168 7520 7710 8224 10280 11280 12079 12336 15420 20560 22560 24158 24672 30840 36237 41120 48316 60395 61680 72474 96632 120790 123360 144948 181185 193264 241580 289896 362370 386528 483160 579792 724740 966320 1159584 1449480 1932640 2898960 5797920