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3057480 = 2333519149
BaseRepresentation
bin1011101010011101001000
312202100002000
423222131020
51240314410
6145311000
734662636
oct13523510
95670060
103057480
1117a9148
121035460
1383087a
14598356
15405dc0
hex2ea748

3057480 has 128 divisors (see below), whose sum is σ = 10800000. Its totient is φ = 767232.

The previous prime is 3057479. The next prime is 3057487. The reversal of 3057480 is 847503.

3057480 is digitally balanced in base 2, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3057487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20446 + ... + 20594.

It is an arithmetic number, because the mean of its divisors is an integer number (84375).

Almost surely, 23057480 is an apocalyptic number.

3057480 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 3057480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400000).

3057480 is an abundant number, since it is smaller than the sum of its proper divisors (7742520).

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

3057480 is a wasteful number, since it uses less digits than its factorization.

3057480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3057480 is about 1748.5651260391. The cubic root of 3057480 is about 145.1402527219.

The spelling of 3057480 in words is "three million, fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 149 152 171 180 190 216 228 270 285 298 342 360 380 447 456 513 540 570 596 684 745 760 855 894 1026 1080 1140 1192 1341 1368 1490 1710 1788 2052 2235 2280 2565 2682 2831 2980 3420 3576 4023 4104 4470 5130 5364 5662 5960 6705 6840 8046 8493 8940 10260 10728 11324 13410 14155 16092 16986 17880 20115 20520 22648 25479 26820 28310 32184 33972 40230 42465 50958 53640 56620 67944 76437 80460 84930 101916 113240 127395 152874 160920 169860 203832 254790 305748 339720 382185 509580 611496 764370 1019160 1528740 3057480