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2858240 = 28571129
BaseRepresentation
bin1010111001110100000000
312101012202202
422321310000
51212430430
6141132332
733203030
oct12716400
95335682
102858240
111682490
12b5a0a8
13790c88
145458c0
153b6d45
hex2b9d00

2858240 has 144 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 860160.

The previous prime is 2858221. The next prime is 2858243. The reversal of 2858240 is 428582.

2858240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858243) 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, 98546 + ... + 98574.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

22858240 is an apocalyptic number.

2858240 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 2858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

2858240 is an abundant number, since it is smaller than the sum of its proper divisors (5971840).

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

2858240 is a wasteful number, since it uses less digits than its factorization.

2858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2858240 is about 1690.6330175411. The cubic root of 2858240 is about 141.9165018603.

The spelling of 2858240 in words is "two million, eight hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 29 32 35 40 44 55 56 58 64 70 77 80 88 110 112 116 128 140 145 154 160 176 203 220 224 232 256 280 290 308 319 320 352 385 406 440 448 464 560 580 616 638 640 704 770 812 880 896 928 1015 1120 1160 1232 1276 1280 1408 1540 1595 1624 1760 1792 1856 2030 2233 2240 2320 2464 2552 2816 3080 3190 3248 3520 3712 4060 4466 4480 4640 4928 5104 6160 6380 6496 7040 7424 8120 8932 8960 9280 9856 10208 11165 12320 12760 12992 14080 16240 17864 18560 19712 20416 22330 24640 25520 25984 32480 35728 37120 40832 44660 49280 51040 51968 64960 71456 81664 89320 98560 102080 129920 142912 178640 204160 259840 285824 357280 408320 571648 714560 1429120 2858240