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2320640 = 2857237
BaseRepresentation
bin1000110110100100000000
311100220022122
420312210000
51043230030
6121423412
725503500
oct10664400
94326278
102320640
111345593
1293ab68
1363337a
14445a00
1530c8e5
hex236900

2320640 has 108 divisors (see below), whose sum is σ = 6640956. Its totient is φ = 774144.

The previous prime is 2320639. The next prime is 2320649. The reversal of 2320640 is 460232.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 802816 = 1232^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (2320649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62702 + ... + 62738.

22320640 is an apocalyptic number.

2320640 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 2320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320478).

2320640 is an abundant number, since it is smaller than the sum of its proper divisors (4320316).

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

2320640 is an equidigital number, since it uses as much as digits as its factorization.

2320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2320640 is about 1523.3646969784. The cubic root of 2320640 is about 132.3942909097.

Adding to 2320640 its reverse (460232), we get a palindrome (2780872).

The spelling of 2320640 in words is "two million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 64 70 74 80 98 112 128 140 148 160 185 196 224 245 256 259 280 296 320 370 392 448 490 518 560 592 640 740 784 896 980 1036 1120 1184 1280 1295 1480 1568 1792 1813 1960 2072 2240 2368 2590 2960 3136 3626 3920 4144 4480 4736 5180 5920 6272 7252 7840 8288 8960 9065 9472 10360 11840 12544 14504 15680 16576 18130 20720 23680 29008 31360 33152 36260 41440 47360 58016 62720 66304 72520 82880 116032 145040 165760 232064 290080 331520 464128 580160 1160320 2320640