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2042280 = 233353161
BaseRepresentation
bin111110010100110101000
310211202111000
413302212220
51010323110
6111435000
723234112
oct7624650
93752430
102042280
111175439
12825a60
13566766
143b23b2
152a51c0
hex1f29a8

2042280 has 128 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 518400.

The previous prime is 2042273. The next prime is 2042281. The reversal of 2042280 is 822402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042281) 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, 33450 + ... + 33510.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

22042280 is an apocalyptic number.

2042280 is a gapful number since it is divisible by the number (20) 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 2042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2042280 is an abundant number, since it is smaller than the sum of its proper divisors (5100120).

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

2042280 is a wasteful number, since it uses less digits than its factorization.

2042280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042280 is about 1429.0836224658. The cubic root of 2042280 is about 126.8737456095.

Adding to 2042280 its reverse (822402), we get a palindrome (2864682).

It can be divided in two parts, 20422 and 80, that added together give a palindrome (20502).

The spelling of 2042280 in words is "two million, forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 61 62 72 90 93 108 120 122 124 135 155 180 183 186 216 244 248 270 279 305 310 360 366 372 465 488 540 549 558 610 620 732 744 837 915 930 1080 1098 1116 1220 1240 1395 1464 1647 1674 1830 1860 1891 2196 2232 2440 2745 2790 3294 3348 3660 3720 3782 4185 4392 5490 5580 5673 6588 6696 7320 7564 8235 8370 9455 10980 11160 11346 13176 15128 16470 16740 17019 18910 21960 22692 28365 32940 33480 34038 37820 45384 51057 56730 65880 68076 75640 85095 102114 113460 136152 170190 204228 226920 255285 340380 408456 510570 680760 1021140 2042280