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2858040 = 2332517467
BaseRepresentation
bin1010111001110000111000
312101012111100
422321300320
51212424130
6141131400
733202323
oct12716070
95335440
102858040
111682319
12b59b60
13790b63
145457ba
153b6c60
hex2b9c38

2858040 has 96 divisors (see below), whose sum is σ = 9856080. Its totient is φ = 715776.

The previous prime is 2858029. The next prime is 2858041. The reversal of 2858040 is 408582.

2858040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2857995 and 2858013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5887 + ... + 6353.

22858040 is an apocalyptic number.

2858040 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 2858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928040).

2858040 is an abundant number, since it is smaller than the sum of its proper divisors (6998040).

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

2858040 is a wasteful number, since it uses less digits than its factorization.

2858040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2858040 is about 1690.5738670641. The cubic root of 2858040 is about 141.9131916692.

The spelling of 2858040 in words is "two million, eight hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 467 510 612 680 765 934 1020 1224 1401 1530 1868 2040 2335 2802 3060 3736 4203 4670 5604 6120 7005 7939 8406 9340 11208 14010 15878 16812 18680 21015 23817 28020 31756 33624 39695 42030 47634 56040 63512 71451 79390 84060 95268 119085 142902 158780 168120 190536 238170 285804 317560 357255 476340 571608 714510 952680 1429020 2858040