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2940 = 223572
BaseRepresentation
bin101101111100
311000220
4231330
543230
621340
711400
oct5574
94026
102940
112233
121850
131452
141100
15d10
hexb7c

2940 has 36 divisors (see below), whose sum is σ = 9576. Its totient is φ = 672.

The previous prime is 2939. The next prime is 2953. The reversal of 2940 is 492.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 11 and base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (266).

22940 is an apocalyptic number.

2940 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 2940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

2940 is an abundant number, since it is smaller than the sum of its proper divisors (6636).

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

2940 is a wasteful number, since it uses less digits than its factorization.

2940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2940 is about 54.2217668469. The cubic root of 2940 is about 14.3256975133.

Multiplying 2940 by its sum of digits (15), we get a square (44100 = 2102).

2940 divided by its sum of digits (15) gives a square (196 = 142).

The spelling of 2940 in words is "two thousand, nine hundred forty".