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3058680 = 233571359
BaseRepresentation
bin1011101010101111111000
312202101201110
423222233320
51240334210
6145320320
734666302
oct13525770
95671643
103058680
1117aa039
1210360a0
13831291
14598972
15406420
hex2eabf8

3058680 has 64 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 801920.

The previous prime is 3058669. The next prime is 3058681. The reversal of 3058680 is 868503.

3058680 is digitally balanced in base 5, 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058681) 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, 8341 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 23058680 is an apocalyptic number.

3058680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

3058680 is an abundant number, since it is smaller than the sum of its proper divisors (6272520).

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

3058680 is a wasteful number, since it uses less digits than its factorization.

3058680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3058680 is about 1748.9082308686. The cubic root of 3058680 is about 145.1592384577.

The spelling of 3058680 in words is "three million, fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 359 426 568 710 718 852 1065 1077 1420 1436 1704 1795 2130 2154 2840 2872 3590 4260 4308 5385 7180 8520 8616 10770 14360 21540 25489 43080 50978 76467 101956 127445 152934 203912 254890 305868 382335 509780 611736 764670 1019560 1529340 3058680