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2882040 = 233574773
BaseRepresentation
bin1010111111100111111000
312102102102020
422333213320
51214211130
6141434440
733332310
oct12774770
95372366
102882040
111699357
12b6ba20
1379ba65
14550440
153bde10
hex2bf9f8

2882040 has 128 divisors (see below), whose sum is σ = 10229760. Its totient is φ = 635904.

The previous prime is 2882029. The next prime is 2882057. The reversal of 2882040 is 402882.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2882040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39444 + ... + 39516.

It is an arithmetic number, because the mean of its divisors is an integer number (79920).

22882040 is an apocalyptic number.

2882040 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 2882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114880).

2882040 is an abundant number, since it is smaller than the sum of its proper divisors (7347720).

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

2882040 is a wasteful number, since it uses less digits than its factorization.

2882040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2882040 is about 1697.6572092151. The cubic root of 2882040 is about 142.3093171323.

The spelling of 2882040 in words is "two million, eight hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 73 84 94 105 120 140 141 146 168 188 210 219 235 280 282 292 329 365 376 420 438 470 511 564 584 658 705 730 840 876 940 987 1022 1095 1128 1316 1410 1460 1533 1645 1752 1880 1974 2044 2190 2555 2632 2820 2920 3066 3290 3431 3948 4088 4380 4935 5110 5640 6132 6580 6862 7665 7896 8760 9870 10220 10293 12264 13160 13724 15330 17155 19740 20440 20586 24017 27448 30660 34310 39480 41172 48034 51465 61320 68620 72051 82344 96068 102930 120085 137240 144102 192136 205860 240170 288204 360255 411720 480340 576408 720510 960680 1441020 2882040