Search a number
-
+
5458980 = 2235372459
BaseRepresentation
bin10100110100110000100100
3101021100022110
4110310300210
52344141410
6313001020
764254252
oct24646044
911240273
105458980
11309945a
1219b3170
131191987
14a215d2
1572c720
hex534c24

5458980 has 48 divisors (see below), whose sum is σ = 15704640. Its totient is φ = 1415808.

The previous prime is 5458969. The next prime is 5458991. The reversal of 5458980 is 898545.

5458980 = T24 + T25 + ... + T319.

It is an interprime number because it is at equal distance from previous prime (5458969) and next prime (5458991).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (327180).

Almost surely, 25458980 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 5458980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852320).

5458980 is an abundant number, since it is smaller than the sum of its proper divisors (10245660).

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

5458980 is a wasteful number, since it uses less digits than its factorization.

5458980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5458980 is about 2336.4460190640. The cubic root of 5458980 is about 176.0774882618.

The spelling of 5458980 in words is "five million, four hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2459 4918 7377 9836 12295 14754 24590 29508 36885 49180 73770 90983 147540 181966 272949 363932 454915 545898 909830 1091796 1364745 1819660 2729490 5458980