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2861320 = 235711929
BaseRepresentation
bin1010111010100100001000
312101100222211
422322210020
51213030240
6141154504
733215020
oct12724410
95340884
102861320
111684830
12b5ba34
137924b7
14546a80
153b7bea
hex2ba908

2861320 has 64 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 890880.

The previous prime is 2861317. The next prime is 2861347. The reversal of 2861320 is 231682.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2861291 and 2861300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616 + ... + 3544.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

22861320 is an apocalyptic number.

2861320 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 2861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2861320 is an abundant number, since it is smaller than the sum of its proper divisors (5173880).

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

2861320 is a wasteful number, since it uses less digits than its factorization.

2861320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2861320 is about 1691.5436736898. The cubic root of 2861320 is about 141.9674593160.

The spelling of 2861320 in words is "two million, eight hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 929 1540 1858 3080 3716 4645 6503 7432 9290 10219 13006 18580 20438 26012 32515 37160 40876 51095 52024 65030 71533 81752 102190 130060 143066 204380 260120 286132 357665 408760 572264 715330 1430660 2861320