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2876940 = 22325111453
BaseRepresentation
bin1010111110011000001100
312102011102100
422332120030
51214030230
6141355100
733311403
oct12763014
95364370
102876940
111695540
12b68a90
13799641
1454c63a
153bc660
hex2be60c

2876940 has 72 divisors (see below), whose sum is σ = 9526608. Its totient is φ = 696960.

The previous prime is 2876933. The next prime is 2876941. The reversal of 2876940 is 496782.

2876940 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2876895 and 2876904.

It is not an unprimeable number, because it can be changed into a prime (2876941) 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, 1254 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (132314).

22876940 is an apocalyptic number.

2876940 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 2876940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763304).

2876940 is an abundant number, since it is smaller than the sum of its proper divisors (6649668).

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

2876940 is a wasteful number, since it uses less digits than its factorization.

2876940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2876940 is about 1696.1544740972. The cubic root of 2876940 is about 142.2253250010.

It can be divided in two parts, 287 and 6940, that added together give a palindrome (7227).

The spelling of 2876940 in words is "two million, eight hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1453 1980 2906 4359 5812 7265 8718 13077 14530 15983 17436 21795 26154 29060 31966 43590 47949 52308 63932 65385 79915 87180 95898 130770 143847 159830 191796 239745 261540 287694 319660 479490 575388 719235 958980 1438470 2876940