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2816240 = 245747107
BaseRepresentation
bin1010101111100011110000
312022002011012
422233203300
51210104430
6140210052
732636420
oct12574360
95262135
102816240
111653979
12b39928
13777b1b
14534480
153a9695
hex2af8f0

2816240 has 80 divisors (see below), whose sum is σ = 7713792. Its totient is φ = 936192.

The previous prime is 2816239. The next prime is 2816243. The reversal of 2816240 is 426182.

2816240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

2816240 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26267 + ... + 26373.

22816240 is an apocalyptic number.

2816240 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 2816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896).

2816240 is an abundant number, since it is smaller than the sum of its proper divisors (4897552).

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

2816240 is a wasteful number, since it uses less digits than its factorization.

2816240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2816240 is about 1678.1656652429. The cubic root of 2816240 is about 141.2179450585.

The spelling of 2816240 in words is "two million, eight hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 107 112 140 188 214 235 280 329 376 428 470 535 560 658 749 752 856 940 1070 1316 1498 1645 1712 1880 2140 2632 2996 3290 3745 3760 4280 5029 5264 5992 6580 7490 8560 10058 11984 13160 14980 20116 25145 26320 29960 35203 40232 50290 59920 70406 80464 100580 140812 176015 201160 281624 352030 402320 563248 704060 1408120 2816240