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2143040 = 26537181
BaseRepresentation
bin1000001011001101000000
311000212200212
420023031000
51022034130
6113533252
724133634
oct10131500
94025625
102143040
111234109
12874228
135a0593
143dadc4
152c4e95
hex20b340

2143040 has 56 divisors (see below), whose sum is σ = 5269992. Its totient is φ = 829440.

The previous prime is 2143039. The next prime is 2143051. The reversal of 2143040 is 403412.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 2050624 = 304^2 + 1432^2 .

It is a congruent number.

It is an unprimeable number.

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, 11750 + ... + 11930.

It is an arithmetic number, because the mean of its divisors is an integer number (94107).

22143040 is an apocalyptic number.

2143040 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 2143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634996).

2143040 is an abundant number, since it is smaller than the sum of its proper divisors (3126952).

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

2143040 is a wasteful number, since it uses less digits than its factorization.

2143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2143040 is about 1463.9125656951. The cubic root of 2143040 is about 128.9268659834.

Adding to 2143040 its reverse (403412), we get a palindrome (2546452).

It can be divided in two parts, 21 and 43040, that multiplied together give a triangular number (903840 = T1344).

The spelling of 2143040 in words is "two million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 181 185 296 320 362 370 592 724 740 905 1184 1448 1480 1810 2368 2896 2960 3620 5792 5920 6697 7240 11584 11840 13394 14480 26788 28960 33485 53576 57920 66970 107152 133940 214304 267880 428608 535760 1071520 2143040