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2067390 = 2335131931
BaseRepresentation
bin111111000101110111110
310220000221000
413320232332
51012124030
6112151130
723400243
oct7705676
93800830
102067390
111192296
128384a6
13575010
143bb5ca
152ac860
hex1f8bbe

2067390 has 128 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 466560.

The previous prime is 2067383. The next prime is 2067407. The reversal of 2067390 is 937602.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66675 + ... + 66705.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

22067390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2067390 is an abundant number, since it is smaller than the sum of its proper divisors (4383810).

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

2067390 is a wasteful number, since it uses less digits than its factorization.

2067390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2067390 is about 1437.8421331982. The cubic root of 2067390 is about 127.3916033723.

The spelling of 2067390 in words is "two million, sixty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 31 38 39 45 54 57 62 65 78 90 93 95 114 117 130 135 155 171 186 190 195 234 247 270 279 285 310 342 351 390 403 465 494 513 558 570 585 589 702 741 806 837 855 930 1026 1170 1178 1209 1235 1395 1482 1674 1710 1755 1767 2015 2223 2418 2470 2565 2790 2945 3510 3534 3627 3705 4030 4185 4446 5130 5301 5890 6045 6669 7254 7410 7657 8370 8835 10602 10881 11115 12090 13338 15314 15903 17670 18135 21762 22230 22971 26505 31806 33345 36270 38285 45942 53010 54405 66690 68913 76570 79515 108810 114855 137826 159030 206739 229710 344565 413478 689130 1033695 2067390