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2835840 = 27357211
BaseRepresentation
bin1010110100010110000000
312100002001010
422310112000
51211221330
6140440520
733050520
oct12642600
95302033
102835840
111667677
12b49140
13783a17
1453b680
153b03b0
hex2b4580

2835840 has 128 divisors (see below), whose sum is σ = 10379520. Its totient is φ = 645120.

The previous prime is 2835793. The next prime is 2835841. The reversal of 2835840 is 485382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2835798 and 2835807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13335 + ... + 13545.

It is an arithmetic number, because the mean of its divisors is an integer number (81090).

22835840 is an apocalyptic number.

2835840 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 2835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189760).

2835840 is an abundant number, since it is smaller than the sum of its proper divisors (7543680).

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

2835840 is a wasteful number, since it uses less digits than its factorization.

2835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2835840 is about 1683.9952493995. The cubic root of 2835840 is about 141.5447963817.

The spelling of 2835840 in words is "two million, eight hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 211 224 240 280 320 336 384 420 422 448 480 560 633 640 672 840 844 896 960 1055 1120 1266 1344 1477 1680 1688 1920 2110 2240 2532 2688 2954 3165 3360 3376 4220 4431 4480 5064 5908 6330 6720 6752 7385 8440 8862 10128 11816 12660 13440 13504 14770 16880 17724 20256 22155 23632 25320 27008 29540 33760 35448 40512 44310 47264 50640 59080 67520 70896 81024 88620 94528 101280 118160 135040 141792 177240 189056 202560 236320 283584 354480 405120 472640 567168 708960 945280 1417920 2835840