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3225060 = 22325192341
BaseRepresentation
bin1100010011010111100100
320001211221200
430103113210
51311200220
6153042500
736261336
oct14232744
96054850
103225060
111903043
1210b6430
1388bc27
145dd456
1543a890
hex3135e4

3225060 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 760320.

The previous prime is 3225029. The next prime is 3225071. The reversal of 3225060 is 605223.

3225060 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 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 47 ways as a sum of consecutive naturals, for example, 78640 + ... + 78680.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 23225060 is an apocalyptic number.

3225060 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 3225060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3225060 is an abundant number, since it is smaller than the sum of its proper divisors (7782300).

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

3225060 is a wasteful number, since it uses less digits than its factorization.

3225060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3225060 is about 1795.8452049105. The cubic root of 3225060 is about 147.7449344205.

The spelling of 3225060 in words is "three million, two hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 41 45 46 57 60 69 76 82 90 92 95 114 115 123 138 164 171 180 190 205 207 228 230 246 276 285 342 345 369 380 410 414 437 460 492 570 615 684 690 738 779 820 828 855 874 943 1035 1140 1230 1311 1380 1476 1558 1710 1748 1845 1886 2070 2185 2337 2460 2622 2829 3116 3420 3690 3772 3895 3933 4140 4370 4674 4715 5244 5658 6555 7011 7380 7790 7866 8487 8740 9348 9430 11316 11685 13110 14022 14145 15580 15732 16974 17917 18860 19665 23370 26220 28044 28290 33948 35055 35834 39330 42435 46740 53751 56580 70110 71668 78660 84870 89585 107502 140220 161253 169740 179170 215004 268755 322506 358340 537510 645012 806265 1075020 1612530 3225060