Search a number
-
+
3058560 = 2734559
BaseRepresentation
bin1011101010101110000000
312202101120000
423222232000
51240333220
6145320000
734666041
oct13525600
95671500
103058560
1117a9a3a
121036000
138311cb
145988c8
15406390
hex2eab80

3058560 has 160 divisors (see below), whose sum is σ = 11107800. Its totient is φ = 801792.

The previous prime is 3058537. The next prime is 3058567. The reversal of 3058560 is 658503.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51811 + ... + 51869.

Almost surely, 23058560 is an apocalyptic number.

3058560 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 3058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553900).

3058560 is an abundant number, since it is smaller than the sum of its proper divisors (8049240).

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

3058560 is an equidigital number, since it uses as much as digits as its factorization.

3058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3058560 is about 1748.8739234147. The cubic root of 3058560 is about 145.1573401076.

The spelling of 3058560 in words is "three million, fifty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 59 60 64 72 80 81 90 96 108 118 120 128 135 144 160 162 177 180 192 216 236 240 270 288 295 320 324 354 360 384 405 432 472 480 531 540 576 590 640 648 708 720 810 864 885 944 960 1062 1080 1152 1180 1296 1416 1440 1593 1620 1728 1770 1888 1920 2124 2160 2360 2592 2655 2832 2880 3186 3240 3456 3540 3776 4248 4320 4720 4779 5184 5310 5664 5760 6372 6480 7080 7552 7965 8496 8640 9440 9558 10368 10620 11328 12744 12960 14160 15930 16992 17280 18880 19116 21240 22656 23895 25488 25920 28320 31860 33984 37760 38232 42480 47790 50976 51840 56640 63720 67968 76464 84960 95580 101952 113280 127440 152928 169920 191160 203904 254880 305856 339840 382320 509760 611712 764640 1019520 1529280 3058560