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3060900 = 22325219179
BaseRepresentation
bin1011101011010010100100
312202111202200
423223102210
51240422100
6145334500
735005623
oct13532244
95674680
103060900
111800777
121037430
138322ab
145996ba
15406e00
hex2eb4a4

3060900 has 108 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 768960.

The previous prime is 3060859. The next prime is 3060913. The reversal of 3060900 is 90603.

3060900 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 (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 17011 + ... + 17189.

Almost surely, 23060900 is an apocalyptic number.

3060900 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 3060900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

3060900 is an abundant number, since it is smaller than the sum of its proper divisors (7094700).

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

3060900 is a wasteful number, since it uses less digits than its factorization.

3060900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3060900 is about 1749.5427974188. The cubic root of 3060900 is about 145.1943489821.

The spelling of 3060900 in words is "three million, sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 179 180 190 225 228 285 300 342 358 380 450 475 537 570 684 716 855 895 900 950 1074 1140 1425 1611 1710 1790 1900 2148 2685 2850 3222 3401 3420 3580 4275 4475 5370 5700 6444 6802 8055 8550 8950 10203 10740 13425 13604 16110 17005 17100 17900 20406 26850 30609 32220 34010 40275 40812 51015 53700 61218 68020 80550 85025 102030 122436 153045 161100 170050 204060 255075 306090 340100 510150 612180 765225 1020300 1530450 3060900