Search a number
-
+
3058160 = 245743127
BaseRepresentation
bin1011101010100111110000
312202101000012
423222213300
51240330120
6145314052
734664630
oct13524760
95671005
103058160
1117a9706
121035928
13830c81
145986c0
154061c5
hex2ea9f0

3058160 has 80 divisors (see below), whose sum is σ = 8380416. Its totient is φ = 1016064.

The previous prime is 3058157. The next prime is 3058163. The reversal of 3058160 is 618503.

3058160 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3058157) and next prime (3058163).

It is a tau number, because it is divible by the number of its divisors (80).

3058160 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058163) 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, 24017 + ... + 24143.

Almost surely, 23058160 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 3058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190208).

3058160 is an abundant number, since it is smaller than the sum of its proper divisors (5322256).

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

3058160 is a wasteful number, since it uses less digits than its factorization.

3058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 3058160 is about 1748.7595603742. The cubic root of 3058160 is about 145.1510119153.

The spelling of 3058160 in words is "three million, fifty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 127 140 172 215 254 280 301 344 430 508 560 602 635 688 860 889 1016 1204 1270 1505 1720 1778 2032 2408 2540 3010 3440 3556 4445 4816 5080 5461 6020 7112 8890 10160 10922 12040 14224 17780 21844 24080 27305 35560 38227 43688 54610 71120 76454 87376 109220 152908 191135 218440 305816 382270 436880 611632 764540 1529080 3058160