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2835420 = 2235743157
BaseRepresentation
bin1010110100001111011100
312100001110120
422310033130
51211213140
6140434540
733046350
oct12641734
95301416
102835420
111667325
12b48a50
13783783
1453b460
153b01d0
hex2b43dc

2835420 has 96 divisors (see below), whose sum is σ = 9343488. Its totient is φ = 628992.

The previous prime is 2835419. The next prime is 2835433. The reversal of 2835420 is 245382.

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, 17982 + ... + 18138.

It is an arithmetic number, because the mean of its divisors is an integer number (97328).

22835420 is an apocalyptic number.

2835420 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 2835420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671744).

2835420 is an abundant number, since it is smaller than the sum of its proper divisors (6508068).

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

2835420 is a wasteful number, since it uses less digits than its factorization.

2835420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2835420 is about 1683.8705413422. The cubic root of 2835420 is about 141.5378082406.

The spelling of 2835420 in words is "two million, eight hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 157 172 210 215 258 301 314 420 430 471 516 602 628 645 785 860 903 942 1099 1204 1290 1505 1570 1806 1884 2198 2355 2580 3010 3140 3297 3612 4396 4515 4710 5495 6020 6594 6751 9030 9420 10990 13188 13502 16485 18060 20253 21980 27004 32970 33755 40506 47257 65940 67510 81012 94514 101265 135020 141771 189028 202530 236285 283542 405060 472570 567084 708855 945140 1417710 2835420