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2143440 = 2432513229
BaseRepresentation
bin1000001011010011010000
311000220020200
420023103100
51022042230
6113535200
724135045
oct10132320
94026220
102143440
111234442
12874500
135a0810
143db1cc
152c5160
hex20b4d0

2143440 has 120 divisors (see below), whose sum is σ = 7785960. Its totient is φ = 525312.

The previous prime is 2143417. The next prime is 2143441. The reversal of 2143440 is 443412.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 1838736 = 552^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9246 + ... + 9474.

It is an arithmetic number, because the mean of its divisors is an integer number (64883).

22143440 is an apocalyptic number.

2143440 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 2143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892980).

2143440 is an abundant number, since it is smaller than the sum of its proper divisors (5642520).

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

2143440 is a wasteful number, since it uses less digits than its factorization.

2143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2143440 is about 1464.0491795018. The cubic root of 2143440 is about 128.9348869160.

Adding to 2143440 its reverse (443412), we get a palindrome (2586852).

The spelling of 2143440 in words is "two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 229 234 240 260 312 360 390 458 468 520 585 624 687 720 780 916 936 1040 1145 1170 1374 1560 1832 1872 2061 2290 2340 2748 2977 3120 3435 3664 4122 4580 4680 5496 5954 6870 8244 8931 9160 9360 10305 10992 11908 13740 14885 16488 17862 18320 20610 23816 26793 27480 29770 32976 35724 41220 44655 47632 53586 54960 59540 71448 82440 89310 107172 119080 133965 142896 164880 178620 214344 238160 267930 357240 428688 535860 714480 1071720 2143440