Search a number
-
+
2851360 = 25571251
BaseRepresentation
bin1010111000001000100000
312100212022221
422320020200
51212220420
6141040424
733144001
oct12701040
95325287
102851360
1116782a6
12b56114
1378aac5
145431a8
153b4caa
hex2b8220

2851360 has 48 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 1120000.

The previous prime is 2851351. The next prime is 2851361. The reversal of 2851360 is 631582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2851361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11235 + ... + 11485.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

22851360 is an apocalyptic number.

2851360 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 2851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2851360 is an abundant number, since it is smaller than the sum of its proper divisors (4007072).

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

2851360 is a wasteful number, since it uses less digits than its factorization.

2851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2851360 is about 1688.5970508087. The cubic root of 2851360 is about 141.8025424549.

The spelling of 2851360 in words is "two million, eight hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 251 284 355 502 568 710 1004 1136 1255 1420 2008 2272 2510 2840 4016 5020 5680 8032 10040 11360 17821 20080 35642 40160 71284 89105 142568 178210 285136 356420 570272 712840 1425680 2851360