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5458680 = 2332559257
BaseRepresentation
bin10100110100101011111000
3101021022220100
4110310223320
52344134210
6312555400
764253343
oct24645370
911238810
105458680
113099207
1219b2b60
1311917b6
14a2145a
1572c5c0
hex534af8

5458680 has 96 divisors (see below), whose sum is σ = 18111600. Its totient is φ = 1425408.

The previous prime is 5458679. The next prime is 5458723. The reversal of 5458680 is 868545.

5458680 = T25 + T26 + ... + T319.

It is a happy number.

5458680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21112 + ... + 21368.

Almost surely, 25458680 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 5458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055800).

5458680 is an abundant number, since it is smaller than the sum of its proper divisors (12652920).

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

5458680 is a wasteful number, since it uses less digits than its factorization.

5458680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5458680 is about 2336.3818181111. The cubic root of 5458680 is about 176.0742627378.

The spelling of 5458680 in words is "five million, four hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 257 295 354 360 472 514 531 590 708 771 885 1028 1062 1180 1285 1416 1542 1770 2056 2124 2313 2360 2570 2655 3084 3540 3855 4248 4626 5140 5310 6168 7080 7710 9252 10280 10620 11565 15163 15420 18504 21240 23130 30326 30840 45489 46260 60652 75815 90978 92520 121304 136467 151630 181956 227445 272934 303260 363912 454890 545868 606520 682335 909780 1091736 1364670 1819560 2729340 5458680