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2073940 = 225112857
BaseRepresentation
bin111111010010101010100
310220100220121
413322111110
51012331230
6112241324
723425321
oct7722524
93810817
102073940
111197200
12840244
13577cab
143bdb48
152ae77a
hex1fa554

2073940 has 36 divisors (see below), whose sum is σ = 4792788. Its totient is φ = 753280.

The previous prime is 2073937. The next prime is 2073941. The reversal of 2073940 is 493702.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 662596 = 1188^2 + 814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 2848.

It is an arithmetic number, because the mean of its divisors is an integer number (133133).

22073940 is an apocalyptic number.

2073940 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 2073940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396394).

2073940 is an abundant number, since it is smaller than the sum of its proper divisors (2718848).

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

2073940 is a wasteful number, since it uses less digits than its factorization.

2073940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 2073940 is about 1440.1180507167. The cubic root of 2073940 is about 127.5259975181.

The spelling of 2073940 in words is "two million, seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 857 1210 1714 2420 3428 4285 8570 9427 17140 18854 37708 47135 94270 103697 188540 207394 414788 518485 1036970 2073940