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2671020 = 22325111971
BaseRepresentation
bin1010001100000110101100
312000200221200
422030012230
51140433040
6133125500
731463142
oct12140654
95020850
102671020
111564860
12a89890
137269b1
144d7592
1537b630
hex28c1ac

2671020 has 144 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 604800.

The previous prime is 2670973. The next prime is 2671021. The reversal of 2671020 is 201762.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2670984 and 2671002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37585 + ... + 37655.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22671020 is an apocalyptic number.

2671020 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 2671020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2671020 is an abundant number, since it is smaller than the sum of its proper divisors (6763860).

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

2671020 is a wasteful number, since it uses less digits than its factorization.

2671020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2671020 is about 1634.3255489651. The cubic root of 2671020 is about 138.7476746628.

Adding to 2671020 its reverse (201762), we get a palindrome (2872782).

The spelling of 2671020 in words is "two million, six hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 71 76 90 95 99 110 114 132 142 165 171 180 190 198 209 213 220 228 284 285 330 342 355 380 396 418 426 495 570 627 639 660 684 710 781 836 852 855 990 1045 1065 1140 1254 1278 1349 1420 1562 1710 1881 1980 2090 2130 2343 2508 2556 2698 3124 3135 3195 3420 3762 3905 4047 4180 4260 4686 5396 6270 6390 6745 7029 7524 7810 8094 9372 9405 11715 12141 12540 12780 13490 14058 14839 15620 16188 18810 20235 23430 24282 26980 28116 29678 35145 37620 40470 44517 46860 48564 59356 60705 70290 74195 80940 89034 121410 133551 140580 148390 178068 222585 242820 267102 296780 445170 534204 667755 890340 1335510 2671020